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Finding the Fourth Proportional to 838.71, 1,258.11 and 473.81

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Solution

The fourth proportional to 838.71, 1,258.11 and 473.81 is: 710.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.71 : 1,258.11 = 473.81 : x
  2. Step 2: Convert to fraction form
    838.71/1,258.11 = 473.81/x
  3. Step 3: Cross multiply
    838.71x = 1,258.11 × 473.81
  4. Step 4: Simplify right side
    838.71x = 596,098.81
  5. Step 5: Solve for x
    x = 596,098.81/838.71
  6. Step 6: Final answer
    x = 710.73

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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.