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Finding the Fourth Proportional to 922.50, 1,273.12 and 529.58

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Solution

The fourth proportional to 922.50, 1,273.12 and 529.58 is: 730.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.50 : 1,273.12 = 529.58 : x
  2. Step 2: Convert to fraction form
    922.50/1,273.12 = 529.58/x
  3. Step 3: Cross multiply
    922.50x = 1,273.12 × 529.58
  4. Step 4: Simplify right side
    922.50x = 674,218.89
  5. Step 5: Solve for x
    x = 674,218.89/922.50
  6. Step 6: Final answer
    x = 730.86

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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.