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Finding the Fourth Proportional to 1,458.68, 2,188.20 and 471.57

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Solution

The fourth proportional to 1,458.68, 2,188.20 and 471.57 is: 707.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,458.68 : 2,188.20 = 471.57 : x
  2. Step 2: Convert to fraction form
    1,458.68/2,188.20 = 471.57/x
  3. Step 3: Cross multiply
    1,458.68x = 2,188.20 × 471.57
  4. Step 4: Simplify right side
    1,458.68x = 1,031,891.70
  5. Step 5: Solve for x
    x = 1,031,891.70/1,458.68
  6. Step 6: Final answer
    x = 707.41

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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.