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Finding the Fourth Proportional to 1,106.99, 1,661.10 and 414.12

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Solution

The fourth proportional to 1,106.99, 1,661.10 and 414.12 is: 621.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.99 : 1,661.10 = 414.12 : x
  2. Step 2: Convert to fraction form
    1,106.99/1,661.10 = 414.12/x
  3. Step 3: Cross multiply
    1,106.99x = 1,661.10 × 414.12
  4. Step 4: Simplify right side
    1,106.99x = 687,894.73
  5. Step 5: Solve for x
    x = 687,894.73/1,106.99
  6. Step 6: Final answer
    x = 621.41

Related Problems

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.