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Finding the Fourth Proportional to 1,600.14, 2,398.59 and 624.90

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Solution

The fourth proportional to 1,600.14, 2,398.59 and 624.90 is: 936.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600.14 : 2,398.59 = 624.90 : x
  2. Step 2: Convert to fraction form
    1,600.14/2,398.59 = 624.90/x
  3. Step 3: Cross multiply
    1,600.14x = 2,398.59 × 624.90
  4. Step 4: Simplify right side
    1,600.14x = 1,498,878.89
  5. Step 5: Solve for x
    x = 1,498,878.89/1,600.14
  6. Step 6: Final answer
    x = 936.72

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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.