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Finding the Fourth Proportional to 1,165.31, 1,747.75 and 434.82

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Solution

The fourth proportional to 1,165.31, 1,747.75 and 434.82 is: 652.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.31 : 1,747.75 = 434.82 : x
  2. Step 2: Convert to fraction form
    1,165.31/1,747.75 = 434.82/x
  3. Step 3: Cross multiply
    1,165.31x = 1,747.75 × 434.82
  4. Step 4: Simplify right side
    1,165.31x = 759,956.66
  5. Step 5: Solve for x
    x = 759,956.66/1,165.31
  6. Step 6: Final answer
    x = 652.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.