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Finding the Fourth Proportional to 723.94, 1,086.06 and 291.10

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Solution

The fourth proportional to 723.94, 1,086.06 and 291.10 is: 436.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.94 : 1,086.06 = 291.10 : x
  2. Step 2: Convert to fraction form
    723.94/1,086.06 = 291.10/x
  3. Step 3: Cross multiply
    723.94x = 1,086.06 × 291.10
  4. Step 4: Simplify right side
    723.94x = 316,152.07
  5. Step 5: Solve for x
    x = 316,152.07/723.94
  6. Step 6: Final answer
    x = 436.71

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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.