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Finding the Fourth Proportional to 1,015.32, 1,521.58 and 466.16

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Solution

The fourth proportional to 1,015.32, 1,521.58 and 466.16 is: 698.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.32 : 1,521.58 = 466.16 : x
  2. Step 2: Convert to fraction form
    1,015.32/1,521.58 = 466.16/x
  3. Step 3: Cross multiply
    1,015.32x = 1,521.58 × 466.16
  4. Step 4: Simplify right side
    1,015.32x = 709,299.73
  5. Step 5: Solve for x
    x = 709,299.73/1,015.32
  6. Step 6: Final answer
    x = 698.60

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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.