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Finding the Fourth Proportional to 1,349.54, 2,023.76 and 471.80

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Solution

The fourth proportional to 1,349.54, 2,023.76 and 471.80 is: 707.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,349.54 : 2,023.76 = 471.80 : x
  2. Step 2: Convert to fraction form
    1,349.54/2,023.76 = 471.80/x
  3. Step 3: Cross multiply
    1,349.54x = 2,023.76 × 471.80
  4. Step 4: Simplify right side
    1,349.54x = 954,797.49
  5. Step 5: Solve for x
    x = 954,797.49/1,349.54
  6. Step 6: Final answer
    x = 707.50

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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.