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Finding the Fourth Proportional to 717.12, 1,076.04 and 534.88

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Solution

The fourth proportional to 717.12, 1,076.04 and 534.88 is: 802.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.12 : 1,076.04 = 534.88 : x
  2. Step 2: Convert to fraction form
    717.12/1,076.04 = 534.88/x
  3. Step 3: Cross multiply
    717.12x = 1,076.04 × 534.88
  4. Step 4: Simplify right side
    717.12x = 575,552.28
  5. Step 5: Solve for x
    x = 575,552.28/717.12
  6. Step 6: Final answer
    x = 802.59

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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.