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Finding the Fourth Proportional to 921.40, 1,271.54 and 528.50

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Solution

The fourth proportional to 921.40, 1,271.54 and 528.50 is: 729.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.40 : 1,271.54 = 528.50 : x
  2. Step 2: Convert to fraction form
    921.40/1,271.54 = 528.50/x
  3. Step 3: Cross multiply
    921.40x = 1,271.54 × 528.50
  4. Step 4: Simplify right side
    921.40x = 672,008.89
  5. Step 5: Solve for x
    x = 672,008.89/921.40
  6. Step 6: Final answer
    x = 729.33

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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.