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Finding the Fourth Proportional to 982.93, 1,357.01 and 651.81

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Solution

The fourth proportional to 982.93, 1,357.01 and 651.81 is: 899.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.93 : 1,357.01 = 651.81 : x
  2. Step 2: Convert to fraction form
    982.93/1,357.01 = 651.81/x
  3. Step 3: Cross multiply
    982.93x = 1,357.01 × 651.81
  4. Step 4: Simplify right side
    982.93x = 884,502.64
  5. Step 5: Solve for x
    x = 884,502.64/982.93
  6. Step 6: Final answer
    x = 899.86

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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.