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Finding the Fourth Proportional to 1,034.14, 1,427.19 and 592.18

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Solution

The fourth proportional to 1,034.14, 1,427.19 and 592.18 is: 817.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.14 : 1,427.19 = 592.18 : x
  2. Step 2: Convert to fraction form
    1,034.14/1,427.19 = 592.18/x
  3. Step 3: Cross multiply
    1,034.14x = 1,427.19 × 592.18
  4. Step 4: Simplify right side
    1,034.14x = 845,153.37
  5. Step 5: Solve for x
    x = 845,153.37/1,034.14
  6. Step 6: Final answer
    x = 817.25

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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.