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Finding the Fourth Proportional to 1,107.68, 1,658.30 and 778.19

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Solution

The fourth proportional to 1,107.68, 1,658.30 and 778.19 is: 1,165.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.68 : 1,658.30 = 778.19 : x
  2. Step 2: Convert to fraction form
    1,107.68/1,658.30 = 778.19/x
  3. Step 3: Cross multiply
    1,107.68x = 1,658.30 × 778.19
  4. Step 4: Simplify right side
    1,107.68x = 1,290,460.29
  5. Step 5: Solve for x
    x = 1,290,460.29/1,107.68
  6. Step 6: Final answer
    x = 1,165.02

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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.