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Finding the Fourth Proportional to 765.49, 1,056.38 and 433.92

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Solution

The fourth proportional to 765.49, 1,056.38 and 433.92 is: 598.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.49 : 1,056.38 = 433.92 : x
  2. Step 2: Convert to fraction form
    765.49/1,056.38 = 433.92/x
  3. Step 3: Cross multiply
    765.49x = 1,056.38 × 433.92
  4. Step 4: Simplify right side
    765.49x = 458,384.41
  5. Step 5: Solve for x
    x = 458,384.41/765.49
  6. Step 6: Final answer
    x = 598.81

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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.