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Finding the Fourth Proportional to 1,036.76, 1,566.89 and 1,018.84

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Solution

The fourth proportional to 1,036.76, 1,566.89 and 1,018.84 is: 1,539.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.76 : 1,566.89 = 1,018.84 : x
  2. Step 2: Convert to fraction form
    1,036.76/1,566.89 = 1,018.84/x
  3. Step 3: Cross multiply
    1,036.76x = 1,566.89 × 1,018.84
  4. Step 4: Simplify right side
    1,036.76x = 1,596,410.21
  5. Step 5: Solve for x
    x = 1,596,410.21/1,036.76
  6. Step 6: Final answer
    x = 1,539.81

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.