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Finding the Fourth Proportional to 786.46, 1,178.88 and 375.30

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Solution

The fourth proportional to 786.46, 1,178.88 and 375.30 is: 562.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.46 : 1,178.88 = 375.30 : x
  2. Step 2: Convert to fraction form
    786.46/1,178.88 = 375.30/x
  3. Step 3: Cross multiply
    786.46x = 1,178.88 × 375.30
  4. Step 4: Simplify right side
    786.46x = 442,433.66
  5. Step 5: Solve for x
    x = 442,433.66/786.46
  6. Step 6: Final answer
    x = 562.56

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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.