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Finding the Fourth Proportional to 798.59, 1,102.58 and 500.29

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Solution

The fourth proportional to 798.59, 1,102.58 and 500.29 is: 690.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.59 : 1,102.58 = 500.29 : x
  2. Step 2: Convert to fraction form
    798.59/1,102.58 = 500.29/x
  3. Step 3: Cross multiply
    798.59x = 1,102.58 × 500.29
  4. Step 4: Simplify right side
    798.59x = 551,608.24
  5. Step 5: Solve for x
    x = 551,608.24/798.59
  6. Step 6: Final answer
    x = 690.73

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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.