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Finding the Fourth Proportional to 765.39, 1,146.69 and 491.52

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Solution

The fourth proportional to 765.39, 1,146.69 and 491.52 is: 736.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.39 : 1,146.69 = 491.52 : x
  2. Step 2: Convert to fraction form
    765.39/1,146.69 = 491.52/x
  3. Step 3: Cross multiply
    765.39x = 1,146.69 × 491.52
  4. Step 4: Simplify right side
    765.39x = 563,621.07
  5. Step 5: Solve for x
    x = 563,621.07/765.39
  6. Step 6: Final answer
    x = 736.38

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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.