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Finding the Fourth Proportional to 703.39, 1,053.52 and 566.09

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Solution

The fourth proportional to 703.39, 1,053.52 and 566.09 is: 847.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.39 : 1,053.52 = 566.09 : x
  2. Step 2: Convert to fraction form
    703.39/1,053.52 = 566.09/x
  3. Step 3: Cross multiply
    703.39x = 1,053.52 × 566.09
  4. Step 4: Simplify right side
    703.39x = 596,380.45
  5. Step 5: Solve for x
    x = 596,380.45/703.39
  6. Step 6: Final answer
    x = 847.87

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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.