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Finding the Fourth Proportional to 1,162.93, 1,742.34 and 613.90

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Solution

The fourth proportional to 1,162.93, 1,742.34 and 613.90 is: 919.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.93 : 1,742.34 = 613.90 : x
  2. Step 2: Convert to fraction form
    1,162.93/1,742.34 = 613.90/x
  3. Step 3: Cross multiply
    1,162.93x = 1,742.34 × 613.90
  4. Step 4: Simplify right side
    1,162.93x = 1,069,619.46
  5. Step 5: Solve for x
    x = 1,069,619.46/1,162.93
  6. Step 6: Final answer
    x = 919.77

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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.