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Finding the Fourth Proportional to 1,060.70, 1,462.86 and 707.13

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Solution

The fourth proportional to 1,060.70, 1,462.86 and 707.13 is: 975.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.70 : 1,462.86 = 707.13 : x
  2. Step 2: Convert to fraction form
    1,060.70/1,462.86 = 707.13/x
  3. Step 3: Cross multiply
    1,060.70x = 1,462.86 × 707.13
  4. Step 4: Simplify right side
    1,060.70x = 1,034,432.19
  5. Step 5: Solve for x
    x = 1,034,432.19/1,060.70
  6. Step 6: Final answer
    x = 975.24

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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.