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Finding the Fourth Proportional to 784.92, 1,074.67 and 782.16

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Solution

The fourth proportional to 784.92, 1,074.67 and 782.16 is: 1,070.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.92 : 1,074.67 = 782.16 : x
  2. Step 2: Convert to fraction form
    784.92/1,074.67 = 782.16/x
  3. Step 3: Cross multiply
    784.92x = 1,074.67 × 782.16
  4. Step 4: Simplify right side
    784.92x = 840,563.89
  5. Step 5: Solve for x
    x = 840,563.89/784.92
  6. Step 6: Final answer
    x = 1,070.89

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.