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Finding the Fourth Proportional to 961.81, 1,441.16 and 632.05

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Solution

The fourth proportional to 961.81, 1,441.16 and 632.05 is: 947.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.81 : 1,441.16 = 632.05 : x
  2. Step 2: Convert to fraction form
    961.81/1,441.16 = 632.05/x
  3. Step 3: Cross multiply
    961.81x = 1,441.16 × 632.05
  4. Step 4: Simplify right side
    961.81x = 910,888.89
  5. Step 5: Solve for x
    x = 910,888.89/961.81
  6. Step 6: Final answer
    x = 947.06

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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.