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Finding the Fourth Proportional to 1,587.31, 2,381.16 and 663.50

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Solution

The fourth proportional to 1,587.31, 2,381.16 and 663.50 is: 995.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.31 : 2,381.16 = 663.50 : x
  2. Step 2: Convert to fraction form
    1,587.31/2,381.16 = 663.50/x
  3. Step 3: Cross multiply
    1,587.31x = 2,381.16 × 663.50
  4. Step 4: Simplify right side
    1,587.31x = 1,579,899.66
  5. Step 5: Solve for x
    x = 1,579,899.66/1,587.31
  6. Step 6: Final answer
    x = 995.33

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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.