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Finding the Fourth Proportional to 1,587.60, 2,379.96 and 613.44

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Solution

The fourth proportional to 1,587.60, 2,379.96 and 613.44 is: 919.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.60 : 2,379.96 = 613.44 : x
  2. Step 2: Convert to fraction form
    1,587.60/2,379.96 = 613.44/x
  3. Step 3: Cross multiply
    1,587.60x = 2,379.96 × 613.44
  4. Step 4: Simplify right side
    1,587.60x = 1,459,962.66
  5. Step 5: Solve for x
    x = 1,459,962.66/1,587.60
  6. Step 6: Final answer
    x = 919.60

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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.