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Finding the Fourth Proportional to 880.91, 1,215.71 and 585.98

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Solution

The fourth proportional to 880.91, 1,215.71 and 585.98 is: 808.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.91 : 1,215.71 = 585.98 : x
  2. Step 2: Convert to fraction form
    880.91/1,215.71 = 585.98/x
  3. Step 3: Cross multiply
    880.91x = 1,215.71 × 585.98
  4. Step 4: Simplify right side
    880.91x = 712,372.74
  5. Step 5: Solve for x
    x = 712,372.74/880.91
  6. Step 6: Final answer
    x = 808.68

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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.