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Finding the Fourth Proportional to 898.71, 1,340.25 and 799.16

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Solution

The fourth proportional to 898.71, 1,340.25 and 799.16 is: 1,191.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.71 : 1,340.25 = 799.16 : x
  2. Step 2: Convert to fraction form
    898.71/1,340.25 = 799.16/x
  3. Step 3: Cross multiply
    898.71x = 1,340.25 × 799.16
  4. Step 4: Simplify right side
    898.71x = 1,071,068.84
  5. Step 5: Solve for x
    x = 1,071,068.84/898.71
  6. Step 6: Final answer
    x = 1,191.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.