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Finding the Fourth Proportional to 1,019.83, 1,529.74 and 370.71

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Solution

The fourth proportional to 1,019.83, 1,529.74 and 370.71 is: 556.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.83 : 1,529.74 = 370.71 : x
  2. Step 2: Convert to fraction form
    1,019.83/1,529.74 = 370.71/x
  3. Step 3: Cross multiply
    1,019.83x = 1,529.74 × 370.71
  4. Step 4: Simplify right side
    1,019.83x = 567,089.92
  5. Step 5: Solve for x
    x = 567,089.92/1,019.83
  6. Step 6: Final answer
    x = 556.06

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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.