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Finding the Fourth Proportional to 1,178.84, 1,768.44 and 562.52

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Solution

The fourth proportional to 1,178.84, 1,768.44 and 562.52 is: 843.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.84 : 1,768.44 = 562.52 : x
  2. Step 2: Convert to fraction form
    1,178.84/1,768.44 = 562.52/x
  3. Step 3: Cross multiply
    1,178.84x = 1,768.44 × 562.52
  4. Step 4: Simplify right side
    1,178.84x = 994,782.87
  5. Step 5: Solve for x
    x = 994,782.87/1,178.84
  6. Step 6: Final answer
    x = 843.87

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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.