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Finding the Fourth Proportional to 1,347.31, 2,020.72 and 373.49

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Solution

The fourth proportional to 1,347.31, 2,020.72 and 373.49 is: 560.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347.31 : 2,020.72 = 373.49 : x
  2. Step 2: Convert to fraction form
    1,347.31/2,020.72 = 373.49/x
  3. Step 3: Cross multiply
    1,347.31x = 2,020.72 × 373.49
  4. Step 4: Simplify right side
    1,347.31x = 754,706.74
  5. Step 5: Solve for x
    x = 754,706.74/1,347.31
  6. Step 6: Final answer
    x = 560.16

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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.