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Finding the Fourth Proportional to 1,373.52, 2,059.85 and 448.86

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Solution

The fourth proportional to 1,373.52, 2,059.85 and 448.86 is: 673.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,373.52 : 2,059.85 = 448.86 : x
  2. Step 2: Convert to fraction form
    1,373.52/2,059.85 = 448.86/x
  3. Step 3: Cross multiply
    1,373.52x = 2,059.85 × 448.86
  4. Step 4: Simplify right side
    1,373.52x = 924,589.75
  5. Step 5: Solve for x
    x = 924,589.75/1,373.52
  6. Step 6: Final answer
    x = 673.15

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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.