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Finding the Fourth Proportional to 1,036.82, 1,552.71 and 999.56

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Solution

The fourth proportional to 1,036.82, 1,552.71 and 999.56 is: 1,496.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.82 : 1,552.71 = 999.56 : x
  2. Step 2: Convert to fraction form
    1,036.82/1,552.71 = 999.56/x
  3. Step 3: Cross multiply
    1,036.82x = 1,552.71 × 999.56
  4. Step 4: Simplify right side
    1,036.82x = 1,552,026.81
  5. Step 5: Solve for x
    x = 1,552,026.81/1,036.82
  6. Step 6: Final answer
    x = 1,496.91

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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.