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Finding the Fourth Proportional to 880.29, 1,214.12 and 585.05

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Solution

The fourth proportional to 880.29, 1,214.12 and 585.05 is: 806.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.29 : 1,214.12 = 585.05 : x
  2. Step 2: Convert to fraction form
    880.29/1,214.12 = 585.05/x
  3. Step 3: Cross multiply
    880.29x = 1,214.12 × 585.05
  4. Step 4: Simplify right side
    880.29x = 710,316.30
  5. Step 5: Solve for x
    x = 710,316.30/880.29
  6. Step 6: Final answer
    x = 806.91

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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.