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Finding the Fourth Proportional to 1,587.80, 2,382.62 and 613.98

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Solution

The fourth proportional to 1,587.80, 2,382.62 and 613.98 is: 921.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.80 : 2,382.62 = 613.98 : x
  2. Step 2: Convert to fraction form
    1,587.80/2,382.62 = 613.98/x
  3. Step 3: Cross multiply
    1,587.80x = 2,382.62 × 613.98
  4. Step 4: Simplify right side
    1,587.80x = 1,462,877.96
  5. Step 5: Solve for x
    x = 1,462,877.96/1,587.80
  6. Step 6: Final answer
    x = 921.32

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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.