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Finding the Fourth Proportional to 898.10, 1,238.64 and 565.94

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Solution

The fourth proportional to 898.10, 1,238.64 and 565.94 is: 780.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.10 : 1,238.64 = 565.94 : x
  2. Step 2: Convert to fraction form
    898.10/1,238.64 = 565.94/x
  3. Step 3: Cross multiply
    898.10x = 1,238.64 × 565.94
  4. Step 4: Simplify right side
    898.10x = 700,995.92
  5. Step 5: Solve for x
    x = 700,995.92/898.10
  6. Step 6: Final answer
    x = 780.53

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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.