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Finding the Fourth Proportional to 882.01, 1,317.71 and 824.37

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Solution

The fourth proportional to 882.01, 1,317.71 and 824.37 is: 1,231.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.01 : 1,317.71 = 824.37 : x
  2. Step 2: Convert to fraction form
    882.01/1,317.71 = 824.37/x
  3. Step 3: Cross multiply
    882.01x = 1,317.71 × 824.37
  4. Step 4: Simplify right side
    882.01x = 1,086,280.59
  5. Step 5: Solve for x
    x = 1,086,280.59/882.01
  6. Step 6: Final answer
    x = 1,231.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.