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Finding the Fourth Proportional to 921.80, 1,272.12 and 528.94

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Solution

The fourth proportional to 921.80, 1,272.12 and 528.94 is: 729.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.80 : 1,272.12 = 528.94 : x
  2. Step 2: Convert to fraction form
    921.80/1,272.12 = 528.94/x
  3. Step 3: Cross multiply
    921.80x = 1,272.12 × 528.94
  4. Step 4: Simplify right side
    921.80x = 672,875.15
  5. Step 5: Solve for x
    x = 672,875.15/921.80
  6. Step 6: Final answer
    x = 729.96

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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.