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Finding the Fourth Proportional to 1,178.76, 1,767.95 and 356.90

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Solution

The fourth proportional to 1,178.76, 1,767.95 and 356.90 is: 535.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.76 : 1,767.95 = 356.90 : x
  2. Step 2: Convert to fraction form
    1,178.76/1,767.95 = 356.90/x
  3. Step 3: Cross multiply
    1,178.76x = 1,767.95 × 356.90
  4. Step 4: Simplify right side
    1,178.76x = 630,970.73
  5. Step 5: Solve for x
    x = 630,970.73/1,178.76
  6. Step 6: Final answer
    x = 535.28

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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.