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Finding the Fourth Proportional to 1,019.99, 1,529.89 and 403.53

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Solution

The fourth proportional to 1,019.99, 1,529.89 and 403.53 is: 605.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.99 : 1,529.89 = 403.53 : x
  2. Step 2: Convert to fraction form
    1,019.99/1,529.89 = 403.53/x
  3. Step 3: Cross multiply
    1,019.99x = 1,529.89 × 403.53
  4. Step 4: Simplify right side
    1,019.99x = 617,358.37
  5. Step 5: Solve for x
    x = 617,358.37/1,019.99
  6. Step 6: Final answer
    x = 605.26

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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.