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Finding the Fourth Proportional to 1,148.98, 1,713.18 and 1,128.25

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Solution

The fourth proportional to 1,148.98, 1,713.18 and 1,128.25 is: 1,682.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.98 : 1,713.18 = 1,128.25 : x
  2. Step 2: Convert to fraction form
    1,148.98/1,713.18 = 1,128.25/x
  3. Step 3: Cross multiply
    1,148.98x = 1,713.18 × 1,128.25
  4. Step 4: Simplify right side
    1,148.98x = 1,932,889.69
  5. Step 5: Solve for x
    x = 1,932,889.69/1,148.98
  6. Step 6: Final answer
    x = 1,682.27

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.