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Finding the Fourth Proportional to 694.84, 1,036.37 and 585.87

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Solution

The fourth proportional to 694.84, 1,036.37 and 585.87 is: 873.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.84 : 1,036.37 = 585.87 : x
  2. Step 2: Convert to fraction form
    694.84/1,036.37 = 585.87/x
  3. Step 3: Cross multiply
    694.84x = 1,036.37 × 585.87
  4. Step 4: Simplify right side
    694.84x = 607,178.09
  5. Step 5: Solve for x
    x = 607,178.09/694.84
  6. Step 6: Final answer
    x = 873.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.