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Finding the Fourth Proportional to 838.67, 1,158.80 and 809.10

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Solution

The fourth proportional to 838.67, 1,158.80 and 809.10 is: 1,117.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.67 : 1,158.80 = 809.10 : x
  2. Step 2: Convert to fraction form
    838.67/1,158.80 = 809.10/x
  3. Step 3: Cross multiply
    838.67x = 1,158.80 × 809.10
  4. Step 4: Simplify right side
    838.67x = 937,585.08
  5. Step 5: Solve for x
    x = 937,585.08/838.67
  6. Step 6: Final answer
    x = 1,117.94

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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.