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Finding the Fourth Proportional to 1,289.17, 1,932.13 and 924.67

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Solution

The fourth proportional to 1,289.17, 1,932.13 and 924.67 is: 1,385.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.17 : 1,932.13 = 924.67 : x
  2. Step 2: Convert to fraction form
    1,289.17/1,932.13 = 924.67/x
  3. Step 3: Cross multiply
    1,289.17x = 1,932.13 × 924.67
  4. Step 4: Simplify right side
    1,289.17x = 1,786,568.36
  5. Step 5: Solve for x
    x = 1,786,568.36/1,289.17
  6. Step 6: Final answer
    x = 1,385.83

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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.