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Finding the Fourth Proportional to 1,281.93, 1,769.13 and 784.42

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Solution

The fourth proportional to 1,281.93, 1,769.13 and 784.42 is: 1,082.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.93 : 1,769.13 = 784.42 : x
  2. Step 2: Convert to fraction form
    1,281.93/1,769.13 = 784.42/x
  3. Step 3: Cross multiply
    1,281.93x = 1,769.13 × 784.42
  4. Step 4: Simplify right side
    1,281.93x = 1,387,740.95
  5. Step 5: Solve for x
    x = 1,387,740.95/1,281.93
  6. Step 6: Final answer
    x = 1,082.54

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Why These Related Problems?

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