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Finding the Fourth Proportional to 1,178.34, 1,767.78 and 356.64

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Solution

The fourth proportional to 1,178.34, 1,767.78 and 356.64 is: 535.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.34 : 1,767.78 = 356.64 : x
  2. Step 2: Convert to fraction form
    1,178.34/1,767.78 = 356.64/x
  3. Step 3: Cross multiply
    1,178.34x = 1,767.78 × 356.64
  4. Step 4: Simplify right side
    1,178.34x = 630,461.06
  5. Step 5: Solve for x
    x = 630,461.06/1,178.34
  6. Step 6: Final answer
    x = 535.04

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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.