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Finding the Fourth Proportional to 1,302.42, 1,796.61 and 778.14

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Solution

The fourth proportional to 1,302.42, 1,796.61 and 778.14 is: 1,073.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.42 : 1,796.61 = 778.14 : x
  2. Step 2: Convert to fraction form
    1,302.42/1,796.61 = 778.14/x
  3. Step 3: Cross multiply
    1,302.42x = 1,796.61 × 778.14
  4. Step 4: Simplify right side
    1,302.42x = 1,398,014.11
  5. Step 5: Solve for x
    x = 1,398,014.11/1,302.42
  6. Step 6: Final answer
    x = 1,073.40

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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.