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Finding the Fourth Proportional to 1,253.96, 1,881 and 473.90

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Solution

The fourth proportional to 1,253.96, 1,881 and 473.90 is: 710.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.96 : 1,881 = 473.90 : x
  2. Step 2: Convert to fraction form
    1,253.96/1,881 = 473.90/x
  3. Step 3: Cross multiply
    1,253.96x = 1,881 × 473.90
  4. Step 4: Simplify right side
    1,253.96x = 891,405.90
  5. Step 5: Solve for x
    x = 891,405.90/1,253.96
  6. Step 6: Final answer
    x = 710.87

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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.