Home / 1,142.40-1,711.08-924.96

Finding the Fourth Proportional to 1,142.40, 1,711.08 and 924.96

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Solution

The fourth proportional to 1,142.40, 1,711.08 and 924.96 is: 1,385.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.40 : 1,711.08 = 924.96 : x
  2. Step 2: Convert to fraction form
    1,142.40/1,711.08 = 924.96/x
  3. Step 3: Cross multiply
    1,142.40x = 1,711.08 × 924.96
  4. Step 4: Simplify right side
    1,142.40x = 1,582,680.56
  5. Step 5: Solve for x
    x = 1,582,680.56/1,142.40
  6. Step 6: Final answer
    x = 1,385.40

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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.