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Finding the Fourth Proportional to 798.02, 1,100.95 and 503.45

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Solution

The fourth proportional to 798.02, 1,100.95 and 503.45 is: 694.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.02 : 1,100.95 = 503.45 : x
  2. Step 2: Convert to fraction form
    798.02/1,100.95 = 503.45/x
  3. Step 3: Cross multiply
    798.02x = 1,100.95 × 503.45
  4. Step 4: Simplify right side
    798.02x = 554,273.28
  5. Step 5: Solve for x
    x = 554,273.28/798.02
  6. Step 6: Final answer
    x = 694.56

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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.