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Finding the Fourth Proportional to 1,034.10, 1,427.23 and 592

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Solution

The fourth proportional to 1,034.10, 1,427.23 and 592 is: 817.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.10 : 1,427.23 = 592 : x
  2. Step 2: Convert to fraction form
    1,034.10/1,427.23 = 592/x
  3. Step 3: Cross multiply
    1,034.10x = 1,427.23 × 592
  4. Step 4: Simplify right side
    1,034.10x = 844,920.16
  5. Step 5: Solve for x
    x = 844,920.16/1,034.10
  6. Step 6: Final answer
    x = 817.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.