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Finding the Fourth Proportional to 652.01, 981.88 and 587.75

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Solution

The fourth proportional to 652.01, 981.88 and 587.75 is: 885.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.01 : 981.88 = 587.75 : x
  2. Step 2: Convert to fraction form
    652.01/981.88 = 587.75/x
  3. Step 3: Cross multiply
    652.01x = 981.88 × 587.75
  4. Step 4: Simplify right side
    652.01x = 577,093.59
  5. Step 5: Solve for x
    x = 577,093.59/652.01
  6. Step 6: Final answer
    x = 885.11

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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.