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Finding the Fourth Proportional to 910.31, 1,363.10 and 580.23

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Solution

The fourth proportional to 910.31, 1,363.10 and 580.23 is: 868.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.31 : 1,363.10 = 580.23 : x
  2. Step 2: Convert to fraction form
    910.31/1,363.10 = 580.23/x
  3. Step 3: Cross multiply
    910.31x = 1,363.10 × 580.23
  4. Step 4: Simplify right side
    910.31x = 790,908.61
  5. Step 5: Solve for x
    x = 790,908.61/910.31
  6. Step 6: Final answer
    x = 868.84

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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.