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Finding the Fourth Proportional to 1,178.52, 1,767.38 and 561.71

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Solution

The fourth proportional to 1,178.52, 1,767.38 and 561.71 is: 842.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.52 : 1,767.38 = 561.71 : x
  2. Step 2: Convert to fraction form
    1,178.52/1,767.38 = 561.71/x
  3. Step 3: Cross multiply
    1,178.52x = 1,767.38 × 561.71
  4. Step 4: Simplify right side
    1,178.52x = 992,743.37
  5. Step 5: Solve for x
    x = 992,743.37/1,178.52
  6. Step 6: Final answer
    x = 842.36

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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.