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Finding the Fourth Proportional to 897.81, 1,238.76 and 618.96

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Solution

The fourth proportional to 897.81, 1,238.76 and 618.96 is: 854.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.81 : 1,238.76 = 618.96 : x
  2. Step 2: Convert to fraction form
    897.81/1,238.76 = 618.96/x
  3. Step 3: Cross multiply
    897.81x = 1,238.76 × 618.96
  4. Step 4: Simplify right side
    897.81x = 766,742.89
  5. Step 5: Solve for x
    x = 766,742.89/897.81
  6. Step 6: Final answer
    x = 854.01

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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.