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Finding the Fourth Proportional to 1,034.91, 1,427.76 and 592.57

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Solution

The fourth proportional to 1,034.91, 1,427.76 and 592.57 is: 817.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.91 : 1,427.76 = 592.57 : x
  2. Step 2: Convert to fraction form
    1,034.91/1,427.76 = 592.57/x
  3. Step 3: Cross multiply
    1,034.91x = 1,427.76 × 592.57
  4. Step 4: Simplify right side
    1,034.91x = 846,047.74
  5. Step 5: Solve for x
    x = 846,047.74/1,034.91
  6. Step 6: Final answer
    x = 817.51

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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.