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Finding the Fourth Proportional to 652, 977.76 and 189.66

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Solution

The fourth proportional to 652, 977.76 and 189.66 is: 284.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    652 : 977.76 = 189.66 : x
  2. Step 2: Convert to fraction form
    652/977.76 = 189.66/x
  3. Step 3: Cross multiply
    652x = 977.76 × 189.66
  4. Step 4: Simplify right side
    652x = 185,437.07
  5. Step 5: Solve for x
    x = 185,437.07/652
  6. Step 6: Final answer
    x = 284.41

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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.