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Finding the Fourth Proportional to 765.42, 1,146.34 and 559.47

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Solution

The fourth proportional to 765.42, 1,146.34 and 559.47 is: 837.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.42 : 1,146.34 = 559.47 : x
  2. Step 2: Convert to fraction form
    765.42/1,146.34 = 559.47/x
  3. Step 3: Cross multiply
    765.42x = 1,146.34 × 559.47
  4. Step 4: Simplify right side
    765.42x = 641,342.84
  5. Step 5: Solve for x
    x = 641,342.84/765.42
  6. Step 6: Final answer
    x = 837.90

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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.