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Finding the Fourth Proportional to 898.13, 1,237.67 and 635.69

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Solution

The fourth proportional to 898.13, 1,237.67 and 635.69 is: 876.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.13 : 1,237.67 = 635.69 : x
  2. Step 2: Convert to fraction form
    898.13/1,237.67 = 635.69/x
  3. Step 3: Cross multiply
    898.13x = 1,237.67 × 635.69
  4. Step 4: Simplify right side
    898.13x = 786,774.44
  5. Step 5: Solve for x
    x = 786,774.44/898.13
  6. Step 6: Final answer
    x = 876.01

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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.