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Finding the Fourth Proportional to 1,036.48, 1,546.60 and 927.52

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Solution

The fourth proportional to 1,036.48, 1,546.60 and 927.52 is: 1,384.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.48 : 1,546.60 = 927.52 : x
  2. Step 2: Convert to fraction form
    1,036.48/1,546.60 = 927.52/x
  3. Step 3: Cross multiply
    1,036.48x = 1,546.60 × 927.52
  4. Step 4: Simplify right side
    1,036.48x = 1,434,502.43
  5. Step 5: Solve for x
    x = 1,434,502.43/1,036.48
  6. Step 6: Final answer
    x = 1,384.01

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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.