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Finding the Fourth Proportional to 882.74, 1,321.51 and 465.28

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Solution

The fourth proportional to 882.74, 1,321.51 and 465.28 is: 696.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.74 : 1,321.51 = 465.28 : x
  2. Step 2: Convert to fraction form
    882.74/1,321.51 = 465.28/x
  3. Step 3: Cross multiply
    882.74x = 1,321.51 × 465.28
  4. Step 4: Simplify right side
    882.74x = 614,872.17
  5. Step 5: Solve for x
    x = 614,872.17/882.74
  6. Step 6: Final answer
    x = 696.55

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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.