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Finding the Fourth Proportional to 765.61, 1,056.56 and 434.03

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Solution

The fourth proportional to 765.61, 1,056.56 and 434.03 is: 598.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.61 : 1,056.56 = 434.03 : x
  2. Step 2: Convert to fraction form
    765.61/1,056.56 = 434.03/x
  3. Step 3: Cross multiply
    765.61x = 1,056.56 × 434.03
  4. Step 4: Simplify right side
    765.61x = 458,573.73
  5. Step 5: Solve for x
    x = 458,573.73/765.61
  6. Step 6: Final answer
    x = 598.97

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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.