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Finding the Fourth Proportional to 749.01, 1,120.68 and 456.60

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Solution

The fourth proportional to 749.01, 1,120.68 and 456.60 is: 683.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.01 : 1,120.68 = 456.60 : x
  2. Step 2: Convert to fraction form
    749.01/1,120.68 = 456.60/x
  3. Step 3: Cross multiply
    749.01x = 1,120.68 × 456.60
  4. Step 4: Simplify right side
    749.01x = 511,702.49
  5. Step 5: Solve for x
    x = 511,702.49/749.01
  6. Step 6: Final answer
    x = 683.17

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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.