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Finding the Fourth Proportional to 921.50, 1,271.74 and 528.58

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Solution

The fourth proportional to 921.50, 1,271.74 and 528.58 is: 729.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.50 : 1,271.74 = 528.58 : x
  2. Step 2: Convert to fraction form
    921.50/1,271.74 = 528.58/x
  3. Step 3: Cross multiply
    921.50x = 1,271.74 × 528.58
  4. Step 4: Simplify right side
    921.50x = 672,216.33
  5. Step 5: Solve for x
    x = 672,216.33/921.50
  6. Step 6: Final answer
    x = 729.48

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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.