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Finding the Fourth Proportional to 1,348.76, 2,023.32 and 471.44

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Solution

The fourth proportional to 1,348.76, 2,023.32 and 471.44 is: 707.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348.76 : 2,023.32 = 471.44 : x
  2. Step 2: Convert to fraction form
    1,348.76/2,023.32 = 471.44/x
  3. Step 3: Cross multiply
    1,348.76x = 2,023.32 × 471.44
  4. Step 4: Simplify right side
    1,348.76x = 953,873.98
  5. Step 5: Solve for x
    x = 953,873.98/1,348.76
  6. Step 6: Final answer
    x = 707.22

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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.