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Finding the Fourth Proportional to 898.13, 1,347.06 and 717.68

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Solution

The fourth proportional to 898.13, 1,347.06 and 717.68 is: 1,076.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.13 : 1,347.06 = 717.68 : x
  2. Step 2: Convert to fraction form
    898.13/1,347.06 = 717.68/x
  3. Step 3: Cross multiply
    898.13x = 1,347.06 × 717.68
  4. Step 4: Simplify right side
    898.13x = 966,758.02
  5. Step 5: Solve for x
    x = 966,758.02/898.13
  6. Step 6: Final answer
    x = 1,076.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.