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Finding the Fourth Proportional to 723.65, 1,085.93 and 416.10

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Solution

The fourth proportional to 723.65, 1,085.93 and 416.10 is: 624.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.65 : 1,085.93 = 416.10 : x
  2. Step 2: Convert to fraction form
    723.65/1,085.93 = 416.10/x
  3. Step 3: Cross multiply
    723.65x = 1,085.93 × 416.10
  4. Step 4: Simplify right side
    723.65x = 451,858.19
  5. Step 5: Solve for x
    x = 451,858.19/723.65
  6. Step 6: Final answer
    x = 624.42

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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.