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Finding the Fourth Proportional to 881.96, 1,215.78 and 586.58

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Solution

The fourth proportional to 881.96, 1,215.78 and 586.58 is: 808.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.96 : 1,215.78 = 586.58 : x
  2. Step 2: Convert to fraction form
    881.96/1,215.78 = 586.58/x
  3. Step 3: Cross multiply
    881.96x = 1,215.78 × 586.58
  4. Step 4: Simplify right side
    881.96x = 713,152.23
  5. Step 5: Solve for x
    x = 713,152.23/881.96
  6. Step 6: Final answer
    x = 808.60

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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.