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Finding the Fourth Proportional to 1,587.34, 2,380.96 and 613.66

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Solution

The fourth proportional to 1,587.34, 2,380.96 and 613.66 is: 920.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.34 : 2,380.96 = 613.66 : x
  2. Step 2: Convert to fraction form
    1,587.34/2,380.96 = 613.66/x
  3. Step 3: Cross multiply
    1,587.34x = 2,380.96 × 613.66
  4. Step 4: Simplify right side
    1,587.34x = 1,461,099.91
  5. Step 5: Solve for x
    x = 1,461,099.91/1,587.34
  6. Step 6: Final answer
    x = 920.47

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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.