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Finding the Fourth Proportional to 1,148.81, 1,723.62 and 801.98

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Solution

The fourth proportional to 1,148.81, 1,723.62 and 801.98 is: 1,203.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.81 : 1,723.62 = 801.98 : x
  2. Step 2: Convert to fraction form
    1,148.81/1,723.62 = 801.98/x
  3. Step 3: Cross multiply
    1,148.81x = 1,723.62 × 801.98
  4. Step 4: Simplify right side
    1,148.81x = 1,382,308.77
  5. Step 5: Solve for x
    x = 1,382,308.77/1,148.81
  6. Step 6: Final answer
    x = 1,203.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.