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Finding the Fourth Proportional to 1,538.88, 2,312.64 and 769.92

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Solution

The fourth proportional to 1,538.88, 2,312.64 and 769.92 is: 1,157.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.88 : 2,312.64 = 769.92 : x
  2. Step 2: Convert to fraction form
    1,538.88/2,312.64 = 769.92/x
  3. Step 3: Cross multiply
    1,538.88x = 2,312.64 × 769.92
  4. Step 4: Simplify right side
    1,538.88x = 1,780,547.79
  5. Step 5: Solve for x
    x = 1,780,547.79/1,538.88
  6. Step 6: Final answer
    x = 1,157.04

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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.