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Finding the Fourth Proportional to 898.21, 1,239.23 and 583.86

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Solution

The fourth proportional to 898.21, 1,239.23 and 583.86 is: 805.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.21 : 1,239.23 = 583.86 : x
  2. Step 2: Convert to fraction form
    898.21/1,239.23 = 583.86/x
  3. Step 3: Cross multiply
    898.21x = 1,239.23 × 583.86
  4. Step 4: Simplify right side
    898.21x = 723,536.83
  5. Step 5: Solve for x
    x = 723,536.83/898.21
  6. Step 6: Final answer
    x = 805.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.