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Finding the Fourth Proportional to 922.05, 1,272.03 and 528.84

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Solution

The fourth proportional to 922.05, 1,272.03 and 528.84 is: 729.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.05 : 1,272.03 = 528.84 : x
  2. Step 2: Convert to fraction form
    922.05/1,272.03 = 528.84/x
  3. Step 3: Cross multiply
    922.05x = 1,272.03 × 528.84
  4. Step 4: Simplify right side
    922.05x = 672,700.35
  5. Step 5: Solve for x
    x = 672,700.35/922.05
  6. Step 6: Final answer
    x = 729.57

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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.