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Finding the Fourth Proportional to 1,019.33, 1,529.06 and 288.91

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Solution

The fourth proportional to 1,019.33, 1,529.06 and 288.91 is: 433.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.33 : 1,529.06 = 288.91 : x
  2. Step 2: Convert to fraction form
    1,019.33/1,529.06 = 288.91/x
  3. Step 3: Cross multiply
    1,019.33x = 1,529.06 × 288.91
  4. Step 4: Simplify right side
    1,019.33x = 441,761.19
  5. Step 5: Solve for x
    x = 441,761.19/1,019.33
  6. Step 6: Final answer
    x = 433.38

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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.