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Finding the Fourth Proportional to 922.34, 1,272.84 and 529.60

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Solution

The fourth proportional to 922.34, 1,272.84 and 529.60 is: 730.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.34 : 1,272.84 = 529.60 : x
  2. Step 2: Convert to fraction form
    922.34/1,272.84 = 529.60/x
  3. Step 3: Cross multiply
    922.34x = 1,272.84 × 529.60
  4. Step 4: Simplify right side
    922.34x = 674,096.06
  5. Step 5: Solve for x
    x = 674,096.06/922.34
  6. Step 6: Final answer
    x = 730.85

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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.