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Finding the Fourth Proportional to 1,348.90, 2,024.26 and 471.67

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Solution

The fourth proportional to 1,348.90, 2,024.26 and 471.67 is: 707.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348.90 : 2,024.26 = 471.67 : x
  2. Step 2: Convert to fraction form
    1,348.90/2,024.26 = 471.67/x
  3. Step 3: Cross multiply
    1,348.90x = 2,024.26 × 471.67
  4. Step 4: Simplify right side
    1,348.90x = 954,776.47
  5. Step 5: Solve for x
    x = 954,776.47/1,348.90
  6. Step 6: Final answer
    x = 707.82

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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.