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Finding the Fourth Proportional to 798.91, 1,102.18 and 589.58

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Solution

The fourth proportional to 798.91, 1,102.18 and 589.58 is: 813.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.91 : 1,102.18 = 589.58 : x
  2. Step 2: Convert to fraction form
    798.91/1,102.18 = 589.58/x
  3. Step 3: Cross multiply
    798.91x = 1,102.18 × 589.58
  4. Step 4: Simplify right side
    798.91x = 649,823.28
  5. Step 5: Solve for x
    x = 649,823.28/798.91
  6. Step 6: Final answer
    x = 813.39

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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.