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Finding the Fourth Proportional to 780.69, 1,170.31 and 410.42

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Solution

The fourth proportional to 780.69, 1,170.31 and 410.42 is: 615.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.69 : 1,170.31 = 410.42 : x
  2. Step 2: Convert to fraction form
    780.69/1,170.31 = 410.42/x
  3. Step 3: Cross multiply
    780.69x = 1,170.31 × 410.42
  4. Step 4: Simplify right side
    780.69x = 480,318.63
  5. Step 5: Solve for x
    x = 480,318.63/780.69
  6. Step 6: Final answer
    x = 615.25

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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.