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Finding the Fourth Proportional to 765.02, 1,053.59 and 748.91

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Solution

The fourth proportional to 765.02, 1,053.59 and 748.91 is: 1,031.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.02 : 1,053.59 = 748.91 : x
  2. Step 2: Convert to fraction form
    765.02/1,053.59 = 748.91/x
  3. Step 3: Cross multiply
    765.02x = 1,053.59 × 748.91
  4. Step 4: Simplify right side
    765.02x = 789,035.07
  5. Step 5: Solve for x
    x = 789,035.07/765.02
  6. Step 6: Final answer
    x = 1,031.40

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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.