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Finding the Fourth Proportional to 1,077.71, 1,617.57 and 590.09

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Solution

The fourth proportional to 1,077.71, 1,617.57 and 590.09 is: 885.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.71 : 1,617.57 = 590.09 : x
  2. Step 2: Convert to fraction form
    1,077.71/1,617.57 = 590.09/x
  3. Step 3: Cross multiply
    1,077.71x = 1,617.57 × 590.09
  4. Step 4: Simplify right side
    1,077.71x = 954,503.79
  5. Step 5: Solve for x
    x = 954,503.79/1,077.71
  6. Step 6: Final answer
    x = 885.68

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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.