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Finding the Fourth Proportional to 882.65, 1,323.98 and 266.36

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Solution

The fourth proportional to 882.65, 1,323.98 and 266.36 is: 399.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.65 : 1,323.98 = 266.36 : x
  2. Step 2: Convert to fraction form
    882.65/1,323.98 = 266.36/x
  3. Step 3: Cross multiply
    882.65x = 1,323.98 × 266.36
  4. Step 4: Simplify right side
    882.65x = 352,647.69
  5. Step 5: Solve for x
    x = 352,647.69/882.65
  6. Step 6: Final answer
    x = 399.54

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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.