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Finding the Fourth Proportional to 921.75, 1,271.91 and 528.76

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Solution

The fourth proportional to 921.75, 1,271.91 and 528.76 is: 729.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.75 : 1,271.91 = 528.76 : x
  2. Step 2: Convert to fraction form
    921.75/1,271.91 = 528.76/x
  3. Step 3: Cross multiply
    921.75x = 1,271.91 × 528.76
  4. Step 4: Simplify right side
    921.75x = 672,535.13
  5. Step 5: Solve for x
    x = 672,535.13/921.75
  6. Step 6: Final answer
    x = 729.63

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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.