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Finding the Fourth Proportional to 898.29, 1,240.16 and 599.46

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Solution

The fourth proportional to 898.29, 1,240.16 and 599.46 is: 827.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.29 : 1,240.16 = 599.46 : x
  2. Step 2: Convert to fraction form
    898.29/1,240.16 = 599.46/x
  3. Step 3: Cross multiply
    898.29x = 1,240.16 × 599.46
  4. Step 4: Simplify right side
    898.29x = 743,423.32
  5. Step 5: Solve for x
    x = 743,423.32/898.29
  6. Step 6: Final answer
    x = 827.60

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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.