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Finding the Fourth Proportional to 1,591.08, 2,386.63 and 495.45

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Solution

The fourth proportional to 1,591.08, 2,386.63 and 495.45 is: 743.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,591.08 : 2,386.63 = 495.45 : x
  2. Step 2: Convert to fraction form
    1,591.08/2,386.63 = 495.45/x
  3. Step 3: Cross multiply
    1,591.08x = 2,386.63 × 495.45
  4. Step 4: Simplify right side
    1,591.08x = 1,182,456.45
  5. Step 5: Solve for x
    x = 1,182,456.45/1,591.08
  6. Step 6: Final answer
    x = 743.18

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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.