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Finding the Fourth Proportional to 781.78, 1,173.06 and 474.40

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Solution

The fourth proportional to 781.78, 1,173.06 and 474.40 is: 711.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.78 : 1,173.06 = 474.40 : x
  2. Step 2: Convert to fraction form
    781.78/1,173.06 = 474.40/x
  3. Step 3: Cross multiply
    781.78x = 1,173.06 × 474.40
  4. Step 4: Simplify right side
    781.78x = 556,499.66
  5. Step 5: Solve for x
    x = 556,499.66/781.78
  6. Step 6: Final answer
    x = 711.84

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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.