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Finding the Fourth Proportional to 784.17, 1,171.32 and 780.53

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Solution

The fourth proportional to 784.17, 1,171.32 and 780.53 is: 1,165.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.17 : 1,171.32 = 780.53 : x
  2. Step 2: Convert to fraction form
    784.17/1,171.32 = 780.53/x
  3. Step 3: Cross multiply
    784.17x = 1,171.32 × 780.53
  4. Step 4: Simplify right side
    784.17x = 914,244.54
  5. Step 5: Solve for x
    x = 914,244.54/784.17
  6. Step 6: Final answer
    x = 1,165.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.