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Finding the Fourth Proportional to 1,006.52, 1,501.46 and 889.88

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Solution

The fourth proportional to 1,006.52, 1,501.46 and 889.88 is: 1,327.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.52 : 1,501.46 = 889.88 : x
  2. Step 2: Convert to fraction form
    1,006.52/1,501.46 = 889.88/x
  3. Step 3: Cross multiply
    1,006.52x = 1,501.46 × 889.88
  4. Step 4: Simplify right side
    1,006.52x = 1,336,119.22
  5. Step 5: Solve for x
    x = 1,336,119.22/1,006.52
  6. Step 6: Final answer
    x = 1,327.46

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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.