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Finding the Fourth Proportional to 1,088.69, 1,633.02 and 266.95

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Solution

The fourth proportional to 1,088.69, 1,633.02 and 266.95 is: 400.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.69 : 1,633.02 = 266.95 : x
  2. Step 2: Convert to fraction form
    1,088.69/1,633.02 = 266.95/x
  3. Step 3: Cross multiply
    1,088.69x = 1,633.02 × 266.95
  4. Step 4: Simplify right side
    1,088.69x = 435,935.73
  5. Step 5: Solve for x
    x = 435,935.73/1,088.69
  6. Step 6: Final answer
    x = 400.42

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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.