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Finding the Fourth Proportional to 780.23, 1,077.17 and 582.15

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Solution

The fourth proportional to 780.23, 1,077.17 and 582.15 is: 803.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.23 : 1,077.17 = 582.15 : x
  2. Step 2: Convert to fraction form
    780.23/1,077.17 = 582.15/x
  3. Step 3: Cross multiply
    780.23x = 1,077.17 × 582.15
  4. Step 4: Simplify right side
    780.23x = 627,072.33
  5. Step 5: Solve for x
    x = 627,072.33/780.23
  6. Step 6: Final answer
    x = 803.70

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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.