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Finding the Fourth Proportional to 1,354.74, 2,031.84 and 624.21

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Solution

The fourth proportional to 1,354.74, 2,031.84 and 624.21 is: 936.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.74 : 2,031.84 = 624.21 : x
  2. Step 2: Convert to fraction form
    1,354.74/2,031.84 = 624.21/x
  3. Step 3: Cross multiply
    1,354.74x = 2,031.84 × 624.21
  4. Step 4: Simplify right side
    1,354.74x = 1,268,294.85
  5. Step 5: Solve for x
    x = 1,268,294.85/1,354.74
  6. Step 6: Final answer
    x = 936.19

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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.