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Finding the Fourth Proportional to 880.67, 1,216.35 and 585.43

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Solution

The fourth proportional to 880.67, 1,216.35 and 585.43 is: 808.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.67 : 1,216.35 = 585.43 : x
  2. Step 2: Convert to fraction form
    880.67/1,216.35 = 585.43/x
  3. Step 3: Cross multiply
    880.67x = 1,216.35 × 585.43
  4. Step 4: Simplify right side
    880.67x = 712,084.74
  5. Step 5: Solve for x
    x = 712,084.74/880.67
  6. Step 6: Final answer
    x = 808.57

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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.