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Finding the Fourth Proportional to 1,060.10, 1,462.43 and 706.19

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Solution

The fourth proportional to 1,060.10, 1,462.43 and 706.19 is: 974.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.10 : 1,462.43 = 706.19 : x
  2. Step 2: Convert to fraction form
    1,060.10/1,462.43 = 706.19/x
  3. Step 3: Cross multiply
    1,060.10x = 1,462.43 × 706.19
  4. Step 4: Simplify right side
    1,060.10x = 1,032,753.44
  5. Step 5: Solve for x
    x = 1,032,753.44/1,060.10
  6. Step 6: Final answer
    x = 974.20

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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.