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Finding the Fourth Proportional to 1,018.32, 1,527.10 and 401.82

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Solution

The fourth proportional to 1,018.32, 1,527.10 and 401.82 is: 602.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.32 : 1,527.10 = 401.82 : x
  2. Step 2: Convert to fraction form
    1,018.32/1,527.10 = 401.82/x
  3. Step 3: Cross multiply
    1,018.32x = 1,527.10 × 401.82
  4. Step 4: Simplify right side
    1,018.32x = 613,619.32
  5. Step 5: Solve for x
    x = 613,619.32/1,018.32
  6. Step 6: Final answer
    x = 602.58

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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.