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Finding the Fourth Proportional to 1,587.49, 2,380.77 and 613.36

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Solution

The fourth proportional to 1,587.49, 2,380.77 and 613.36 is: 919.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.49 : 2,380.77 = 613.36 : x
  2. Step 2: Convert to fraction form
    1,587.49/2,380.77 = 613.36/x
  3. Step 3: Cross multiply
    1,587.49x = 2,380.77 × 613.36
  4. Step 4: Simplify right side
    1,587.49x = 1,460,269.09
  5. Step 5: Solve for x
    x = 1,460,269.09/1,587.49
  6. Step 6: Final answer
    x = 919.86

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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.