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Finding the Fourth Proportional to 701.07, 1,052.28 and 495.06

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Solution

The fourth proportional to 701.07, 1,052.28 and 495.06 is: 743.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.07 : 1,052.28 = 495.06 : x
  2. Step 2: Convert to fraction form
    701.07/1,052.28 = 495.06/x
  3. Step 3: Cross multiply
    701.07x = 1,052.28 × 495.06
  4. Step 4: Simplify right side
    701.07x = 520,941.74
  5. Step 5: Solve for x
    x = 520,941.74/701.07
  6. Step 6: Final answer
    x = 743.07

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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.