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Finding the Fourth Proportional to 1,370.08, 2,052.42 and 638.74

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Solution

The fourth proportional to 1,370.08, 2,052.42 and 638.74 is: 956.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,370.08 : 2,052.42 = 638.74 : x
  2. Step 2: Convert to fraction form
    1,370.08/2,052.42 = 638.74/x
  3. Step 3: Cross multiply
    1,370.08x = 2,052.42 × 638.74
  4. Step 4: Simplify right side
    1,370.08x = 1,310,962.75
  5. Step 5: Solve for x
    x = 1,310,962.75/1,370.08
  6. Step 6: Final answer
    x = 956.85

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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.