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Finding the Fourth Proportional to 1,077.31, 1,615.97 and 590.09

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Solution

The fourth proportional to 1,077.31, 1,615.97 and 590.09 is: 885.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.31 : 1,615.97 = 590.09 : x
  2. Step 2: Convert to fraction form
    1,077.31/1,615.97 = 590.09/x
  3. Step 3: Cross multiply
    1,077.31x = 1,615.97 × 590.09
  4. Step 4: Simplify right side
    1,077.31x = 953,568.83
  5. Step 5: Solve for x
    x = 953,568.83/1,077.31
  6. Step 6: Final answer
    x = 885.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.