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Finding the Fourth Proportional to 1,163.84, 1,606.07 and 632.70

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Solution

The fourth proportional to 1,163.84, 1,606.07 and 632.70 is: 873.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.84 : 1,606.07 = 632.70 : x
  2. Step 2: Convert to fraction form
    1,163.84/1,606.07 = 632.70/x
  3. Step 3: Cross multiply
    1,163.84x = 1,606.07 × 632.70
  4. Step 4: Simplify right side
    1,163.84x = 1,016,158.51
  5. Step 5: Solve for x
    x = 1,016,158.51/1,163.84
  6. Step 6: Final answer
    x = 873.11

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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.