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Finding the Fourth Proportional to 703.52, 1,054.20 and 414.26

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Solution

The fourth proportional to 703.52, 1,054.20 and 414.26 is: 620.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.52 : 1,054.20 = 414.26 : x
  2. Step 2: Convert to fraction form
    703.52/1,054.20 = 414.26/x
  3. Step 3: Cross multiply
    703.52x = 1,054.20 × 414.26
  4. Step 4: Simplify right side
    703.52x = 436,712.89
  5. Step 5: Solve for x
    x = 436,712.89/703.52
  6. Step 6: Final answer
    x = 620.75

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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.