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Finding the Fourth Proportional to 1,354.66, 2,032.14 and 532.82

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Solution

The fourth proportional to 1,354.66, 2,032.14 and 532.82 is: 799.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.66 : 2,032.14 = 532.82 : x
  2. Step 2: Convert to fraction form
    1,354.66/2,032.14 = 532.82/x
  3. Step 3: Cross multiply
    1,354.66x = 2,032.14 × 532.82
  4. Step 4: Simplify right side
    1,354.66x = 1,082,762.17
  5. Step 5: Solve for x
    x = 1,082,762.17/1,354.66
  6. Step 6: Final answer
    x = 799.29

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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.