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Finding the Fourth Proportional to 701.16, 1,052.24 and 393.26

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Solution

The fourth proportional to 701.16, 1,052.24 and 393.26 is: 590.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.16 : 1,052.24 = 393.26 : x
  2. Step 2: Convert to fraction form
    701.16/1,052.24 = 393.26/x
  3. Step 3: Cross multiply
    701.16x = 1,052.24 × 393.26
  4. Step 4: Simplify right side
    701.16x = 413,803.90
  5. Step 5: Solve for x
    x = 413,803.90/701.16
  6. Step 6: Final answer
    x = 590.17

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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.