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Finding the Fourth Proportional to 1,162.96, 1,742.64 and 643.12

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Solution

The fourth proportional to 1,162.96, 1,742.64 and 643.12 is: 963.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.96 : 1,742.64 = 643.12 : x
  2. Step 2: Convert to fraction form
    1,162.96/1,742.64 = 643.12/x
  3. Step 3: Cross multiply
    1,162.96x = 1,742.64 × 643.12
  4. Step 4: Simplify right side
    1,162.96x = 1,120,726.64
  5. Step 5: Solve for x
    x = 1,120,726.64/1,162.96
  6. Step 6: Final answer
    x = 963.68

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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.