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Finding the Fourth Proportional to 703.65, 1,055.97 and 411

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Solution

The fourth proportional to 703.65, 1,055.97 and 411 is: 616.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.65 : 1,055.97 = 411 : x
  2. Step 2: Convert to fraction form
    703.65/1,055.97 = 411/x
  3. Step 3: Cross multiply
    703.65x = 1,055.97 × 411
  4. Step 4: Simplify right side
    703.65x = 434,003.67
  5. Step 5: Solve for x
    x = 434,003.67/703.65
  6. Step 6: Final answer
    x = 616.79

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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.