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Finding the Fourth Proportional to 1,178.34, 1,767.69 and 356.51

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Solution

The fourth proportional to 1,178.34, 1,767.69 and 356.51 is: 534.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.34 : 1,767.69 = 356.51 : x
  2. Step 2: Convert to fraction form
    1,178.34/1,767.69 = 356.51/x
  3. Step 3: Cross multiply
    1,178.34x = 1,767.69 × 356.51
  4. Step 4: Simplify right side
    1,178.34x = 630,190.32
  5. Step 5: Solve for x
    x = 630,190.32/1,178.34
  6. Step 6: Final answer
    x = 534.81

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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.