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Finding the Fourth Proportional to 1,347.34, 2,020.98 and 373.46

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Solution

The fourth proportional to 1,347.34, 2,020.98 and 373.46 is: 560.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347.34 : 2,020.98 = 373.46 : x
  2. Step 2: Convert to fraction form
    1,347.34/2,020.98 = 373.46/x
  3. Step 3: Cross multiply
    1,347.34x = 2,020.98 × 373.46
  4. Step 4: Simplify right side
    1,347.34x = 754,755.19
  5. Step 5: Solve for x
    x = 754,755.19/1,347.34
  6. Step 6: Final answer
    x = 560.18

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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.