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Finding the Fourth Proportional to 1,096.93, 1,513.65 and 654.75

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Solution

The fourth proportional to 1,096.93, 1,513.65 and 654.75 is: 903.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.93 : 1,513.65 = 654.75 : x
  2. Step 2: Convert to fraction form
    1,096.93/1,513.65 = 654.75/x
  3. Step 3: Cross multiply
    1,096.93x = 1,513.65 × 654.75
  4. Step 4: Simplify right side
    1,096.93x = 991,062.34
  5. Step 5: Solve for x
    x = 991,062.34/1,096.93
  6. Step 6: Final answer
    x = 903.49

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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.