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Finding the Fourth Proportional to 1,083.52, 1,624.96 and 425.35

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Solution

The fourth proportional to 1,083.52, 1,624.96 and 425.35 is: 637.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.52 : 1,624.96 = 425.35 : x
  2. Step 2: Convert to fraction form
    1,083.52/1,624.96 = 425.35/x
  3. Step 3: Cross multiply
    1,083.52x = 1,624.96 × 425.35
  4. Step 4: Simplify right side
    1,083.52x = 691,176.74
  5. Step 5: Solve for x
    x = 691,176.74/1,083.52
  6. Step 6: Final answer
    x = 637.90

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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.