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Finding the Fourth Proportional to 652.11, 978.32 and 189.93

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Solution

The fourth proportional to 652.11, 978.32 and 189.93 is: 284.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.11 : 978.32 = 189.93 : x
  2. Step 2: Convert to fraction form
    652.11/978.32 = 189.93/x
  3. Step 3: Cross multiply
    652.11x = 978.32 × 189.93
  4. Step 4: Simplify right side
    652.11x = 185,807.70
  5. Step 5: Solve for x
    x = 185,807.70/652.11
  6. Step 6: Final answer
    x = 284.93

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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.