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Finding the Fourth Proportional to 724.51, 1,085.74 and 416.45

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Solution

The fourth proportional to 724.51, 1,085.74 and 416.45 is: 624.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.51 : 1,085.74 = 416.45 : x
  2. Step 2: Convert to fraction form
    724.51/1,085.74 = 416.45/x
  3. Step 3: Cross multiply
    724.51x = 1,085.74 × 416.45
  4. Step 4: Simplify right side
    724.51x = 452,158.10
  5. Step 5: Solve for x
    x = 452,158.10/724.51
  6. Step 6: Final answer
    x = 624.09

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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.