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Finding the Fourth Proportional to 1,034.73, 1,427.63 and 592.47

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Solution

The fourth proportional to 1,034.73, 1,427.63 and 592.47 is: 817.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.73 : 1,427.63 = 592.47 : x
  2. Step 2: Convert to fraction form
    1,034.73/1,427.63 = 592.47/x
  3. Step 3: Cross multiply
    1,034.73x = 1,427.63 × 592.47
  4. Step 4: Simplify right side
    1,034.73x = 845,824.98
  5. Step 5: Solve for x
    x = 845,824.98/1,034.73
  6. Step 6: Final answer
    x = 817.44

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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.