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Finding the Fourth Proportional to 798.14, 1,101.29 and 503.49

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Solution

The fourth proportional to 798.14, 1,101.29 and 503.49 is: 694.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.14 : 1,101.29 = 503.49 : x
  2. Step 2: Convert to fraction form
    798.14/1,101.29 = 503.49/x
  3. Step 3: Cross multiply
    798.14x = 1,101.29 × 503.49
  4. Step 4: Simplify right side
    798.14x = 554,485.98
  5. Step 5: Solve for x
    x = 554,485.98/798.14
  6. Step 6: Final answer
    x = 694.73

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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.