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Finding the Fourth Proportional to 881.12, 1,214.56 and 585.87

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Solution

The fourth proportional to 881.12, 1,214.56 and 585.87 is: 807.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.12 : 1,214.56 = 585.87 : x
  2. Step 2: Convert to fraction form
    881.12/1,214.56 = 585.87/x
  3. Step 3: Cross multiply
    881.12x = 1,214.56 × 585.87
  4. Step 4: Simplify right side
    881.12x = 711,571.34
  5. Step 5: Solve for x
    x = 711,571.34/881.12
  6. Step 6: Final answer
    x = 807.58

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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.