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Finding the Fourth Proportional to 588.83, 887.65 and 549.18

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Solution

The fourth proportional to 588.83, 887.65 and 549.18 is: 827.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.83 : 887.65 = 549.18 : x
  2. Step 2: Convert to fraction form
    588.83/887.65 = 549.18/x
  3. Step 3: Cross multiply
    588.83x = 887.65 × 549.18
  4. Step 4: Simplify right side
    588.83x = 487,478.25
  5. Step 5: Solve for x
    x = 487,478.25/588.83
  6. Step 6: Final answer
    x = 827.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.