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Finding the Fourth Proportional to 708.48, 1,064.88 and 565.92

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Solution

The fourth proportional to 708.48, 1,064.88 and 565.92 is: 850.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.48 : 1,064.88 = 565.92 : x
  2. Step 2: Convert to fraction form
    708.48/1,064.88 = 565.92/x
  3. Step 3: Cross multiply
    708.48x = 1,064.88 × 565.92
  4. Step 4: Simplify right side
    708.48x = 602,636.89
  5. Step 5: Solve for x
    x = 602,636.89/708.48
  6. Step 6: Final answer
    x = 850.61

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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.