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Finding the Fourth Proportional to 717.66, 1,076.76 and 429.30

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Solution

The fourth proportional to 717.66, 1,076.76 and 429.30 is: 644.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.66 : 1,076.76 = 429.30 : x
  2. Step 2: Convert to fraction form
    717.66/1,076.76 = 429.30/x
  3. Step 3: Cross multiply
    717.66x = 1,076.76 × 429.30
  4. Step 4: Simplify right side
    717.66x = 462,253.07
  5. Step 5: Solve for x
    x = 462,253.07/717.66
  6. Step 6: Final answer
    x = 644.11

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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.