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Finding the Fourth Proportional to 1,034.61, 1,427.79 and 592.58

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Solution

The fourth proportional to 1,034.61, 1,427.79 and 592.58 is: 817.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.61 : 1,427.79 = 592.58 : x
  2. Step 2: Convert to fraction form
    1,034.61/1,427.79 = 592.58/x
  3. Step 3: Cross multiply
    1,034.61x = 1,427.79 × 592.58
  4. Step 4: Simplify right side
    1,034.61x = 846,072.66
  5. Step 5: Solve for x
    x = 846,072.66/1,034.61
  6. Step 6: Final answer
    x = 817.77

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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.