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Finding the Fourth Proportional to 1,205.18, 1,663.36 and 701.19

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Solution

The fourth proportional to 1,205.18, 1,663.36 and 701.19 is: 967.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.18 : 1,663.36 = 701.19 : x
  2. Step 2: Convert to fraction form
    1,205.18/1,663.36 = 701.19/x
  3. Step 3: Cross multiply
    1,205.18x = 1,663.36 × 701.19
  4. Step 4: Simplify right side
    1,205.18x = 1,166,331.62
  5. Step 5: Solve for x
    x = 1,166,331.62/1,205.18
  6. Step 6: Final answer
    x = 967.77

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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 (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.