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Finding the Fourth Proportional to 784.92, 1,069.68 and 782.04

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Solution

The fourth proportional to 784.92, 1,069.68 and 782.04 is: 1,065.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.92 : 1,069.68 = 782.04 : x
  2. Step 2: Convert to fraction form
    784.92/1,069.68 = 782.04/x
  3. Step 3: Cross multiply
    784.92x = 1,069.68 × 782.04
  4. Step 4: Simplify right side
    784.92x = 836,532.55
  5. Step 5: Solve for x
    x = 836,532.55/784.92
  6. Step 6: Final answer
    x = 1,065.76

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.