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Finding the Fourth Proportional to 1,463.69, 2,020.41 and 904.59

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Solution

The fourth proportional to 1,463.69, 2,020.41 and 904.59 is: 1,248.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.69 : 2,020.41 = 904.59 : x
  2. Step 2: Convert to fraction form
    1,463.69/2,020.41 = 904.59/x
  3. Step 3: Cross multiply
    1,463.69x = 2,020.41 × 904.59
  4. Step 4: Simplify right side
    1,463.69x = 1,827,642.68
  5. Step 5: Solve for x
    x = 1,827,642.68/1,463.69
  6. Step 6: Final answer
    x = 1,248.65

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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.