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Finding the Fourth Proportional to 1,178.71, 1,767.38 and 356.74

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Solution

The fourth proportional to 1,178.71, 1,767.38 and 356.74 is: 534.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.71 : 1,767.38 = 356.74 : x
  2. Step 2: Convert to fraction form
    1,178.71/1,767.38 = 356.74/x
  3. Step 3: Cross multiply
    1,178.71x = 1,767.38 × 356.74
  4. Step 4: Simplify right side
    1,178.71x = 630,486.30
  5. Step 5: Solve for x
    x = 630,486.30/1,178.71
  6. Step 6: Final answer
    x = 534.90

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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.