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Finding the Fourth Proportional to 694.97, 1,036.56 and 586.00

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Solution

The fourth proportional to 694.97, 1,036.56 and 586.00 is: 874.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.97 : 1,036.56 = 586.00 : x
  2. Step 2: Convert to fraction form
    694.97/1,036.56 = 586.00/x
  3. Step 3: Cross multiply
    694.97x = 1,036.56 × 586.00
  4. Step 4: Simplify right side
    694.97x = 607,419.37
  5. Step 5: Solve for x
    x = 607,419.37/694.97
  6. Step 6: Final answer
    x = 874.03

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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.