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Finding the Fourth Proportional to 798.78, 1,102.02 and 589.46

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Solution

The fourth proportional to 798.78, 1,102.02 and 589.46 is: 813.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.78 : 1,102.02 = 589.46 : x
  2. Step 2: Convert to fraction form
    798.78/1,102.02 = 589.46/x
  3. Step 3: Cross multiply
    798.78x = 1,102.02 × 589.46
  4. Step 4: Simplify right side
    798.78x = 649,596.71
  5. Step 5: Solve for x
    x = 649,596.71/798.78
  6. Step 6: Final answer
    x = 813.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.