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Finding the Fourth Proportional to 703.62, 1,055.85 and 648.54

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Solution

The fourth proportional to 703.62, 1,055.85 and 648.54 is: 973.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.62 : 1,055.85 = 648.54 : x
  2. Step 2: Convert to fraction form
    703.62/1,055.85 = 648.54/x
  3. Step 3: Cross multiply
    703.62x = 1,055.85 × 648.54
  4. Step 4: Simplify right side
    703.62x = 684,760.96
  5. Step 5: Solve for x
    x = 684,760.96/703.62
  6. Step 6: Final answer
    x = 973.20

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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.