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Finding the Fourth Proportional to 882.74, 1,324.08 and 472.67

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Solution

The fourth proportional to 882.74, 1,324.08 and 472.67 is: 709.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.74 : 1,324.08 = 472.67 : x
  2. Step 2: Convert to fraction form
    882.74/1,324.08 = 472.67/x
  3. Step 3: Cross multiply
    882.74x = 1,324.08 × 472.67
  4. Step 4: Simplify right side
    882.74x = 625,858.82
  5. Step 5: Solve for x
    x = 625,858.82/882.74
  6. Step 6: Final answer
    x = 709.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.