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Finding the Fourth Proportional to 922.85, 1,273.19 and 524.45

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Solution

The fourth proportional to 922.85, 1,273.19 and 524.45 is: 723.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.85 : 1,273.19 = 524.45 : x
  2. Step 2: Convert to fraction form
    922.85/1,273.19 = 524.45/x
  3. Step 3: Cross multiply
    922.85x = 1,273.19 × 524.45
  4. Step 4: Simplify right side
    922.85x = 667,715.51
  5. Step 5: Solve for x
    x = 667,715.51/922.85
  6. Step 6: Final answer
    x = 723.54

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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.