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Finding the Fourth Proportional to 749.85, 1,124.01 and 506.40

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Solution

The fourth proportional to 749.85, 1,124.01 and 506.40 is: 759.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.85 : 1,124.01 = 506.40 : x
  2. Step 2: Convert to fraction form
    749.85/1,124.01 = 506.40/x
  3. Step 3: Cross multiply
    749.85x = 1,124.01 × 506.40
  4. Step 4: Simplify right side
    749.85x = 569,198.66
  5. Step 5: Solve for x
    x = 569,198.66/749.85
  6. Step 6: Final answer
    x = 759.08

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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.