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Finding the Fourth Proportional to 1,192.81, 1,646.02 and 654.46

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Solution

The fourth proportional to 1,192.81, 1,646.02 and 654.46 is: 903.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.81 : 1,646.02 = 654.46 : x
  2. Step 2: Convert to fraction form
    1,192.81/1,646.02 = 654.46/x
  3. Step 3: Cross multiply
    1,192.81x = 1,646.02 × 654.46
  4. Step 4: Simplify right side
    1,192.81x = 1,077,246.02
  5. Step 5: Solve for x
    x = 1,077,246.02/1,192.81
  6. Step 6: Final answer
    x = 903.12

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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.