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Finding the Fourth Proportional to 959.48, 1,441.96 and 472.87

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Solution

The fourth proportional to 959.48, 1,441.96 and 472.87 is: 710.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.48 : 1,441.96 = 472.87 : x
  2. Step 2: Convert to fraction form
    959.48/1,441.96 = 472.87/x
  3. Step 3: Cross multiply
    959.48x = 1,441.96 × 472.87
  4. Step 4: Simplify right side
    959.48x = 681,859.63
  5. Step 5: Solve for x
    x = 681,859.63/959.48
  6. Step 6: Final answer
    x = 710.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.