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Finding the Fourth Proportional to 897.03, 1,238.33 and 598.77

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Solution

The fourth proportional to 897.03, 1,238.33 and 598.77 is: 826.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.03 : 1,238.33 = 598.77 : x
  2. Step 2: Convert to fraction form
    897.03/1,238.33 = 598.77/x
  3. Step 3: Cross multiply
    897.03x = 1,238.33 × 598.77
  4. Step 4: Simplify right side
    897.03x = 741,471.86
  5. Step 5: Solve for x
    x = 741,471.86/897.03
  6. Step 6: Final answer
    x = 826.59

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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.