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Finding the Fourth Proportional to 789.32, 1,184 and 652.12

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Solution

The fourth proportional to 789.32, 1,184 and 652.12 is: 978.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.32 : 1,184 = 652.12 : x
  2. Step 2: Convert to fraction form
    789.32/1,184 = 652.12/x
  3. Step 3: Cross multiply
    789.32x = 1,184 × 652.12
  4. Step 4: Simplify right side
    789.32x = 772,110.08
  5. Step 5: Solve for x
    x = 772,110.08/789.32
  6. Step 6: Final answer
    x = 978.20

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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.