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Finding the Fourth Proportional to 703.54, 1,054.94 and 411.14

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Solution

The fourth proportional to 703.54, 1,054.94 and 411.14 is: 616.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.54 : 1,054.94 = 411.14 : x
  2. Step 2: Convert to fraction form
    703.54/1,054.94 = 411.14/x
  3. Step 3: Cross multiply
    703.54x = 1,054.94 × 411.14
  4. Step 4: Simplify right side
    703.54x = 433,728.03
  5. Step 5: Solve for x
    x = 433,728.03/703.54
  6. Step 6: Final answer
    x = 616.49

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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.