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Finding the Fourth Proportional to 723.76, 1,089.52 and 623.29

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Solution

The fourth proportional to 723.76, 1,089.52 and 623.29 is: 938.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.76 : 1,089.52 = 623.29 : x
  2. Step 2: Convert to fraction form
    723.76/1,089.52 = 623.29/x
  3. Step 3: Cross multiply
    723.76x = 1,089.52 × 623.29
  4. Step 4: Simplify right side
    723.76x = 679,086.92
  5. Step 5: Solve for x
    x = 679,086.92/723.76
  6. Step 6: Final answer
    x = 938.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.