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Finding the Fourth Proportional to 652.01, 977.85 and 189.72

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Solution

The fourth proportional to 652.01, 977.85 and 189.72 is: 284.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.01 : 977.85 = 189.72 : x
  2. Step 2: Convert to fraction form
    652.01/977.85 = 189.72/x
  3. Step 3: Cross multiply
    652.01x = 977.85 × 189.72
  4. Step 4: Simplify right side
    652.01x = 185,517.70
  5. Step 5: Solve for x
    x = 185,517.70/652.01
  6. Step 6: Final answer
    x = 284.53

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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.