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Finding the Fourth Proportional to 963.36, 1,446.06 and 782.93

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Solution

The fourth proportional to 963.36, 1,446.06 and 782.93 is: 1,175.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.36 : 1,446.06 = 782.93 : x
  2. Step 2: Convert to fraction form
    963.36/1,446.06 = 782.93/x
  3. Step 3: Cross multiply
    963.36x = 1,446.06 × 782.93
  4. Step 4: Simplify right side
    963.36x = 1,132,163.76
  5. Step 5: Solve for x
    x = 1,132,163.76/963.36
  6. Step 6: Final answer
    x = 1,175.22

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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.