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Finding the Fourth Proportional to 816.84, 1,127.34 and 502.16

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Solution

The fourth proportional to 816.84, 1,127.34 and 502.16 is: 693.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.84 : 1,127.34 = 502.16 : x
  2. Step 2: Convert to fraction form
    816.84/1,127.34 = 502.16/x
  3. Step 3: Cross multiply
    816.84x = 1,127.34 × 502.16
  4. Step 4: Simplify right side
    816.84x = 566,099.42
  5. Step 5: Solve for x
    x = 566,099.42/816.84
  6. Step 6: Final answer
    x = 693.04

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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.