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Finding the Fourth Proportional to 830.99, 1,246.06 and 465.68

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Solution

The fourth proportional to 830.99, 1,246.06 and 465.68 is: 698.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.99 : 1,246.06 = 465.68 : x
  2. Step 2: Convert to fraction form
    830.99/1,246.06 = 465.68/x
  3. Step 3: Cross multiply
    830.99x = 1,246.06 × 465.68
  4. Step 4: Simplify right side
    830.99x = 580,265.22
  5. Step 5: Solve for x
    x = 580,265.22/830.99
  6. Step 6: Final answer
    x = 698.28

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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.