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Finding the Fourth Proportional to 813.68, 1,122.84 and 502.64

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Solution

The fourth proportional to 813.68, 1,122.84 and 502.64 is: 693.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.68 : 1,122.84 = 502.64 : x
  2. Step 2: Convert to fraction form
    813.68/1,122.84 = 502.64/x
  3. Step 3: Cross multiply
    813.68x = 1,122.84 × 502.64
  4. Step 4: Simplify right side
    813.68x = 564,384.30
  5. Step 5: Solve for x
    x = 564,384.30/813.68
  6. Step 6: Final answer
    x = 693.62

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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.