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Finding the Fourth Proportional to 749.92, 1,122.65 and 456.54

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Solution

The fourth proportional to 749.92, 1,122.65 and 456.54 is: 683.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.92 : 1,122.65 = 456.54 : x
  2. Step 2: Convert to fraction form
    749.92/1,122.65 = 456.54/x
  3. Step 3: Cross multiply
    749.92x = 1,122.65 × 456.54
  4. Step 4: Simplify right side
    749.92x = 512,534.63
  5. Step 5: Solve for x
    x = 512,534.63/749.92
  6. Step 6: Final answer
    x = 683.45

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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.