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Finding the Fourth Proportional to 765.30, 1,056.12 and 433.74

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Solution

The fourth proportional to 765.30, 1,056.12 and 433.74 is: 598.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.30 : 1,056.12 = 433.74 : x
  2. Step 2: Convert to fraction form
    765.30/1,056.12 = 433.74/x
  3. Step 3: Cross multiply
    765.30x = 1,056.12 × 433.74
  4. Step 4: Simplify right side
    765.30x = 458,081.49
  5. Step 5: Solve for x
    x = 458,081.49/765.30
  6. Step 6: Final answer
    x = 598.56

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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.