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Finding the Fourth Proportional to 701.17, 967.08 and 535.93

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Solution

The fourth proportional to 701.17, 967.08 and 535.93 is: 739.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.17 : 967.08 = 535.93 : x
  2. Step 2: Convert to fraction form
    701.17/967.08 = 535.93/x
  3. Step 3: Cross multiply
    701.17x = 967.08 × 535.93
  4. Step 4: Simplify right side
    701.17x = 518,287.18
  5. Step 5: Solve for x
    x = 518,287.18/701.17
  6. Step 6: Final answer
    x = 739.17

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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.