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Finding the Fourth Proportional to 1,304.67, 1,956.98 and 524.87

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Solution

The fourth proportional to 1,304.67, 1,956.98 and 524.87 is: 787.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.67 : 1,956.98 = 524.87 : x
  2. Step 2: Convert to fraction form
    1,304.67/1,956.98 = 524.87/x
  3. Step 3: Cross multiply
    1,304.67x = 1,956.98 × 524.87
  4. Step 4: Simplify right side
    1,304.67x = 1,027,150.31
  5. Step 5: Solve for x
    x = 1,027,150.31/1,304.67
  6. Step 6: Final answer
    x = 787.29

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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.