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Finding the Fourth Proportional to 798.25, 1,101.72 and 589.51

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Solution

The fourth proportional to 798.25, 1,101.72 and 589.51 is: 813.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.25 : 1,101.72 = 589.51 : x
  2. Step 2: Convert to fraction form
    798.25/1,101.72 = 589.51/x
  3. Step 3: Cross multiply
    798.25x = 1,101.72 × 589.51
  4. Step 4: Simplify right side
    798.25x = 649,474.96
  5. Step 5: Solve for x
    x = 649,474.96/798.25
  6. Step 6: Final answer
    x = 813.62

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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.