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Finding the Fourth Proportional to 1,178.10, 1,767.27 and 356.58

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Solution

The fourth proportional to 1,178.10, 1,767.27 and 356.58 is: 534.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.10 : 1,767.27 = 356.58 : x
  2. Step 2: Convert to fraction form
    1,178.10/1,767.27 = 356.58/x
  3. Step 3: Cross multiply
    1,178.10x = 1,767.27 × 356.58
  4. Step 4: Simplify right side
    1,178.10x = 630,173.14
  5. Step 5: Solve for x
    x = 630,173.14/1,178.10
  6. Step 6: Final answer
    x = 534.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.