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Finding the Fourth Proportional to 1,587.48, 2,382.12 and 613.65

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Solution

The fourth proportional to 1,587.48, 2,382.12 and 613.65 is: 920.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.48 : 2,382.12 = 613.65 : x
  2. Step 2: Convert to fraction form
    1,587.48/2,382.12 = 613.65/x
  3. Step 3: Cross multiply
    1,587.48x = 2,382.12 × 613.65
  4. Step 4: Simplify right side
    1,587.48x = 1,461,787.94
  5. Step 5: Solve for x
    x = 1,461,787.94/1,587.48
  6. Step 6: Final answer
    x = 920.82

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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.