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Finding the Fourth Proportional to 1,116.42, 1,674.83 and 467.07

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Solution

The fourth proportional to 1,116.42, 1,674.83 and 467.07 is: 700.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.42 : 1,674.83 = 467.07 : x
  2. Step 2: Convert to fraction form
    1,116.42/1,674.83 = 467.07/x
  3. Step 3: Cross multiply
    1,116.42x = 1,674.83 × 467.07
  4. Step 4: Simplify right side
    1,116.42x = 782,262.85
  5. Step 5: Solve for x
    x = 782,262.85/1,116.42
  6. Step 6: Final answer
    x = 700.69

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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.