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Finding the Fourth Proportional to 881.23, 1,214.63 and 632.15

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Solution

The fourth proportional to 881.23, 1,214.63 and 632.15 is: 871.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.23 : 1,214.63 = 632.15 : x
  2. Step 2: Convert to fraction form
    881.23/1,214.63 = 632.15/x
  3. Step 3: Cross multiply
    881.23x = 1,214.63 × 632.15
  4. Step 4: Simplify right side
    881.23x = 767,828.35
  5. Step 5: Solve for x
    x = 767,828.35/881.23
  6. Step 6: Final answer
    x = 871.31

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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.