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Finding the Fourth Proportional to 1,354.70, 2,032.06 and 624.90

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Solution

The fourth proportional to 1,354.70, 2,032.06 and 624.90 is: 937.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.70 : 2,032.06 = 624.90 : x
  2. Step 2: Convert to fraction form
    1,354.70/2,032.06 = 624.90/x
  3. Step 3: Cross multiply
    1,354.70x = 2,032.06 × 624.90
  4. Step 4: Simplify right side
    1,354.70x = 1,269,834.29
  5. Step 5: Solve for x
    x = 1,269,834.29/1,354.70
  6. Step 6: Final answer
    x = 937.35

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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.