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Finding the Fourth Proportional to 1,043.74, 1,566.69 and 768.93

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Solution

The fourth proportional to 1,043.74, 1,566.69 and 768.93 is: 1,154.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.74 : 1,566.69 = 768.93 : x
  2. Step 2: Convert to fraction form
    1,043.74/1,566.69 = 768.93/x
  3. Step 3: Cross multiply
    1,043.74x = 1,566.69 × 768.93
  4. Step 4: Simplify right side
    1,043.74x = 1,204,674.94
  5. Step 5: Solve for x
    x = 1,204,674.94/1,043.74
  6. Step 6: Final answer
    x = 1,154.19

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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.