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Finding the Fourth Proportional to 749.56, 1,124.88 and 506.56

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Solution

The fourth proportional to 749.56, 1,124.88 and 506.56 is: 760.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.56 : 1,124.88 = 506.56 : x
  2. Step 2: Convert to fraction form
    749.56/1,124.88 = 506.56/x
  3. Step 3: Cross multiply
    749.56x = 1,124.88 × 506.56
  4. Step 4: Simplify right side
    749.56x = 569,819.21
  5. Step 5: Solve for x
    x = 569,819.21/749.56
  6. Step 6: Final answer
    x = 760.20

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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.