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Finding the Fourth Proportional to 765.74, 1,056.18 and 529.76

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Solution

The fourth proportional to 765.74, 1,056.18 and 529.76 is: 730.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.74 : 1,056.18 = 529.76 : x
  2. Step 2: Convert to fraction form
    765.74/1,056.18 = 529.76/x
  3. Step 3: Cross multiply
    765.74x = 1,056.18 × 529.76
  4. Step 4: Simplify right side
    765.74x = 559,521.92
  5. Step 5: Solve for x
    x = 559,521.92/765.74
  6. Step 6: Final answer
    x = 730.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.