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Finding the Fourth Proportional to 1,019.70, 1,528.86 and 403.24

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Solution

The fourth proportional to 1,019.70, 1,528.86 and 403.24 is: 604.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.70 : 1,528.86 = 403.24 : x
  2. Step 2: Convert to fraction form
    1,019.70/1,528.86 = 403.24/x
  3. Step 3: Cross multiply
    1,019.70x = 1,528.86 × 403.24
  4. Step 4: Simplify right side
    1,019.70x = 616,497.51
  5. Step 5: Solve for x
    x = 616,497.51/1,019.70
  6. Step 6: Final answer
    x = 604.59

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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.