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Finding the Fourth Proportional to 1,073.74, 1,608.47 and 707.42

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Solution

The fourth proportional to 1,073.74, 1,608.47 and 707.42 is: 1,059.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.74 : 1,608.47 = 707.42 : x
  2. Step 2: Convert to fraction form
    1,073.74/1,608.47 = 707.42/x
  3. Step 3: Cross multiply
    1,073.74x = 1,608.47 × 707.42
  4. Step 4: Simplify right side
    1,073.74x = 1,137,861.92
  5. Step 5: Solve for x
    x = 1,137,861.92/1,073.74
  6. Step 6: Final answer
    x = 1,059.72

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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.