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Finding the Fourth Proportional to 1,381.98, 2,072.76 and 457.58

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Solution

The fourth proportional to 1,381.98, 2,072.76 and 457.58 is: 686.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.98 : 2,072.76 = 457.58 : x
  2. Step 2: Convert to fraction form
    1,381.98/2,072.76 = 457.58/x
  3. Step 3: Cross multiply
    1,381.98x = 2,072.76 × 457.58
  4. Step 4: Simplify right side
    1,381.98x = 948,443.16
  5. Step 5: Solve for x
    x = 948,443.16/1,381.98
  6. Step 6: Final answer
    x = 686.29

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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.