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Finding the Fourth Proportional to 959.76, 1,440.36 and 909.12

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Solution

The fourth proportional to 959.76, 1,440.36 and 909.12 is: 1,364.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.76 : 1,440.36 = 909.12 : x
  2. Step 2: Convert to fraction form
    959.76/1,440.36 = 909.12/x
  3. Step 3: Cross multiply
    959.76x = 1,440.36 × 909.12
  4. Step 4: Simplify right side
    959.76x = 1,309,460.08
  5. Step 5: Solve for x
    x = 1,309,460.08/959.76
  6. Step 6: Final answer
    x = 1,364.36

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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.