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Finding the Fourth Proportional to 954.20, 1,315.72 and 659.68

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Solution

The fourth proportional to 954.20, 1,315.72 and 659.68 is: 909.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.20 : 1,315.72 = 659.68 : x
  2. Step 2: Convert to fraction form
    954.20/1,315.72 = 659.68/x
  3. Step 3: Cross multiply
    954.20x = 1,315.72 × 659.68
  4. Step 4: Simplify right side
    954.20x = 867,954.17
  5. Step 5: Solve for x
    x = 867,954.17/954.20
  6. Step 6: Final answer
    x = 909.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.