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Finding the Fourth Proportional to 1,226.49, 1,838.13 and 897.40

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Solution

The fourth proportional to 1,226.49, 1,838.13 and 897.40 is: 1,344.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.49 : 1,838.13 = 897.40 : x
  2. Step 2: Convert to fraction form
    1,226.49/1,838.13 = 897.40/x
  3. Step 3: Cross multiply
    1,226.49x = 1,838.13 × 897.40
  4. Step 4: Simplify right side
    1,226.49x = 1,649,537.86
  5. Step 5: Solve for x
    x = 1,649,537.86/1,226.49
  6. Step 6: Final answer
    x = 1,344.93

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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.