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Finding the Fourth Proportional to 1,302.30, 1,797.42 and 778.20

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Solution

The fourth proportional to 1,302.30, 1,797.42 and 778.20 is: 1,074.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.30 : 1,797.42 = 778.20 : x
  2. Step 2: Convert to fraction form
    1,302.30/1,797.42 = 778.20/x
  3. Step 3: Cross multiply
    1,302.30x = 1,797.42 × 778.20
  4. Step 4: Simplify right side
    1,302.30x = 1,398,752.24
  5. Step 5: Solve for x
    x = 1,398,752.24/1,302.30
  6. Step 6: Final answer
    x = 1,074.06

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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.