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Finding the Fourth Proportional to 922.70, 1,273.50 and 529.98

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Solution

The fourth proportional to 922.70, 1,273.50 and 529.98 is: 731.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.70 : 1,273.50 = 529.98 : x
  2. Step 2: Convert to fraction form
    922.70/1,273.50 = 529.98/x
  3. Step 3: Cross multiply
    922.70x = 1,273.50 × 529.98
  4. Step 4: Simplify right side
    922.70x = 674,929.53
  5. Step 5: Solve for x
    x = 674,929.53/922.70
  6. Step 6: Final answer
    x = 731.47

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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.