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Finding the Fourth Proportional to 882.54, 1,217.89 and 528.62

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Solution

The fourth proportional to 882.54, 1,217.89 and 528.62 is: 729.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.54 : 1,217.89 = 528.62 : x
  2. Step 2: Convert to fraction form
    882.54/1,217.89 = 528.62/x
  3. Step 3: Cross multiply
    882.54x = 1,217.89 × 528.62
  4. Step 4: Simplify right side
    882.54x = 643,801.01
  5. Step 5: Solve for x
    x = 643,801.01/882.54
  6. Step 6: Final answer
    x = 729.49

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1.5x scale

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.