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Finding the Fourth Proportional to 1,309.52, 1,807.56 and 896.72

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Solution

The fourth proportional to 1,309.52, 1,807.56 and 896.72 is: 1,237.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.52 : 1,807.56 = 896.72 : x
  2. Step 2: Convert to fraction form
    1,309.52/1,807.56 = 896.72/x
  3. Step 3: Cross multiply
    1,309.52x = 1,807.56 × 896.72
  4. Step 4: Simplify right side
    1,309.52x = 1,620,875.20
  5. Step 5: Solve for x
    x = 1,620,875.20/1,309.52
  6. Step 6: Final answer
    x = 1,237.76

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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.