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Finding the Fourth Proportional to 786.01, 1,178.98 and 375.43

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Solution

The fourth proportional to 786.01, 1,178.98 and 375.43 is: 563.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.01 : 1,178.98 = 375.43 : x
  2. Step 2: Convert to fraction form
    786.01/1,178.98 = 375.43/x
  3. Step 3: Cross multiply
    786.01x = 1,178.98 × 375.43
  4. Step 4: Simplify right side
    786.01x = 442,624.46
  5. Step 5: Solve for x
    x = 442,624.46/786.01
  6. Step 6: Final answer
    x = 563.13

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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.