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Finding the Fourth Proportional to 798.30, 1,102.17 and 504

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Solution

The fourth proportional to 798.30, 1,102.17 and 504 is: 695.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.30 : 1,102.17 = 504 : x
  2. Step 2: Convert to fraction form
    798.30/1,102.17 = 504/x
  3. Step 3: Cross multiply
    798.30x = 1,102.17 × 504
  4. Step 4: Simplify right side
    798.30x = 555,493.68
  5. Step 5: Solve for x
    x = 555,493.68/798.30
  6. Step 6: Final answer
    x = 695.85

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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.