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Finding the Fourth Proportional to 765.32, 1,056.06 and 433.73

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Solution

The fourth proportional to 765.32, 1,056.06 and 433.73 is: 598.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.32 : 1,056.06 = 433.73 : x
  2. Step 2: Convert to fraction form
    765.32/1,056.06 = 433.73/x
  3. Step 3: Cross multiply
    765.32x = 1,056.06 × 433.73
  4. Step 4: Simplify right side
    765.32x = 458,039.62
  5. Step 5: Solve for x
    x = 458,039.62/765.32
  6. Step 6: Final answer
    x = 598.50

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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.