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Finding the Fourth Proportional to 765.31, 1,056.12 and 433.73

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Solution

The fourth proportional to 765.31, 1,056.12 and 433.73 is: 598.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.31 : 1,056.12 = 433.73 : x
  2. Step 2: Convert to fraction form
    765.31/1,056.12 = 433.73/x
  3. Step 3: Cross multiply
    765.31x = 1,056.12 × 433.73
  4. Step 4: Simplify right side
    765.31x = 458,070.93
  5. Step 5: Solve for x
    x = 458,070.93/765.31
  6. Step 6: Final answer
    x = 598.54

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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.