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Finding the Fourth Proportional to 882.06, 1,216.97 and 532.75

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Solution

The fourth proportional to 882.06, 1,216.97 and 532.75 is: 735.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.06 : 1,216.97 = 532.75 : x
  2. Step 2: Convert to fraction form
    882.06/1,216.97 = 532.75/x
  3. Step 3: Cross multiply
    882.06x = 1,216.97 × 532.75
  4. Step 4: Simplify right side
    882.06x = 648,345.76
  5. Step 5: Solve for x
    x = 648,345.76/882.06
  6. Step 6: Final answer
    x = 735.03

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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.