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Finding the Fourth Proportional to 694.53, 958.91 and 536.89

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Solution

The fourth proportional to 694.53, 958.91 and 536.89 is: 741.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.53 : 958.91 = 536.89 : x
  2. Step 2: Convert to fraction form
    694.53/958.91 = 536.89/x
  3. Step 3: Cross multiply
    694.53x = 958.91 × 536.89
  4. Step 4: Simplify right side
    694.53x = 514,828.13
  5. Step 5: Solve for x
    x = 514,828.13/694.53
  6. Step 6: Final answer
    x = 741.26

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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.