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Finding the Fourth Proportional to 898.75, 1,238.87 and 741.13

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Solution

The fourth proportional to 898.75, 1,238.87 and 741.13 is: 1,021.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.75 : 1,238.87 = 741.13 : x
  2. Step 2: Convert to fraction form
    898.75/1,238.87 = 741.13/x
  3. Step 3: Cross multiply
    898.75x = 1,238.87 × 741.13
  4. Step 4: Simplify right side
    898.75x = 918,163.72
  5. Step 5: Solve for x
    x = 918,163.72/898.75
  6. Step 6: Final answer
    x = 1,021.60

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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.