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Finding the Fourth Proportional to 873.27, 1,310.07 and 565.43

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Solution

The fourth proportional to 873.27, 1,310.07 and 565.43 is: 848.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.27 : 1,310.07 = 565.43 : x
  2. Step 2: Convert to fraction form
    873.27/1,310.07 = 565.43/x
  3. Step 3: Cross multiply
    873.27x = 1,310.07 × 565.43
  4. Step 4: Simplify right side
    873.27x = 740,746.33
  5. Step 5: Solve for x
    x = 740,746.33/873.27
  6. Step 6: Final answer
    x = 848.24

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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.