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Finding the Fourth Proportional to 708.62, 1,060.88 and 433.88

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Solution

The fourth proportional to 708.62, 1,060.88 and 433.88 is: 649.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.62 : 1,060.88 = 433.88 : x
  2. Step 2: Convert to fraction form
    708.62/1,060.88 = 433.88/x
  3. Step 3: Cross multiply
    708.62x = 1,060.88 × 433.88
  4. Step 4: Simplify right side
    708.62x = 460,287.14
  5. Step 5: Solve for x
    x = 460,287.14/708.62
  6. Step 6: Final answer
    x = 649.55

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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.