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Finding the Fourth Proportional to 922.35, 1,272.83 and 502.71

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Solution

The fourth proportional to 922.35, 1,272.83 and 502.71 is: 693.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.35 : 1,272.83 = 502.71 : x
  2. Step 2: Convert to fraction form
    922.35/1,272.83 = 502.71/x
  3. Step 3: Cross multiply
    922.35x = 1,272.83 × 502.71
  4. Step 4: Simplify right side
    922.35x = 639,870.65
  5. Step 5: Solve for x
    x = 639,870.65/922.35
  6. Step 6: Final answer
    x = 693.74

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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.