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Finding the Fourth Proportional to 1,302.34, 1,797.06 and 778.24

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Solution

The fourth proportional to 1,302.34, 1,797.06 and 778.24 is: 1,073.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.34 : 1,797.06 = 778.24 : x
  2. Step 2: Convert to fraction form
    1,302.34/1,797.06 = 778.24/x
  3. Step 3: Cross multiply
    1,302.34x = 1,797.06 × 778.24
  4. Step 4: Simplify right side
    1,302.34x = 1,398,543.97
  5. Step 5: Solve for x
    x = 1,398,543.97/1,302.34
  6. Step 6: Final answer
    x = 1,073.87

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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.