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Finding the Fourth Proportional to 701.06, 966.58 and 535.01

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Solution

The fourth proportional to 701.06, 966.58 and 535.01 is: 737.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.06 : 966.58 = 535.01 : x
  2. Step 2: Convert to fraction form
    701.06/966.58 = 535.01/x
  3. Step 3: Cross multiply
    701.06x = 966.58 × 535.01
  4. Step 4: Simplify right side
    701.06x = 517,126.80
  5. Step 5: Solve for x
    x = 517,126.80/701.06
  6. Step 6: Final answer
    x = 737.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.