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Finding the Fourth Proportional to 1,535.31, 2,302.16 and 547.74

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Solution

The fourth proportional to 1,535.31, 2,302.16 and 547.74 is: 821.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.31 : 2,302.16 = 547.74 : x
  2. Step 2: Convert to fraction form
    1,535.31/2,302.16 = 547.74/x
  3. Step 3: Cross multiply
    1,535.31x = 2,302.16 × 547.74
  4. Step 4: Simplify right side
    1,535.31x = 1,260,982.38
  5. Step 5: Solve for x
    x = 1,260,982.38/1,535.31
  6. Step 6: Final answer
    x = 821.32

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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.