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Finding the Fourth Proportional to 885.92, 1,326.32 and 581.28

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Solution

The fourth proportional to 885.92, 1,326.32 and 581.28 is: 870.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.92 : 1,326.32 = 581.28 : x
  2. Step 2: Convert to fraction form
    885.92/1,326.32 = 581.28/x
  3. Step 3: Cross multiply
    885.92x = 1,326.32 × 581.28
  4. Step 4: Simplify right side
    885.92x = 770,963.29
  5. Step 5: Solve for x
    x = 770,963.29/885.92
  6. Step 6: Final answer
    x = 870.24

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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.