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Finding the Fourth Proportional to 694.42, 1,037.24 and 585.07

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Solution

The fourth proportional to 694.42, 1,037.24 and 585.07 is: 873.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.42 : 1,037.24 = 585.07 : x
  2. Step 2: Convert to fraction form
    694.42/1,037.24 = 585.07/x
  3. Step 3: Cross multiply
    694.42x = 1,037.24 × 585.07
  4. Step 4: Simplify right side
    694.42x = 606,858.01
  5. Step 5: Solve for x
    x = 606,858.01/694.42
  6. Step 6: Final answer
    x = 873.91

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