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Finding the Fourth Proportional to 1,034.34, 1,427.49 and 592.40

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Solution

The fourth proportional to 1,034.34, 1,427.49 and 592.40 is: 817.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.34 : 1,427.49 = 592.40 : x
  2. Step 2: Convert to fraction form
    1,034.34/1,427.49 = 592.40/x
  3. Step 3: Cross multiply
    1,034.34x = 1,427.49 × 592.40
  4. Step 4: Simplify right side
    1,034.34x = 845,637.94
  5. Step 5: Solve for x
    x = 845,637.94/1,034.34
  6. Step 6: Final answer
    x = 817.56

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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.