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Finding the Fourth Proportional to 1,033.61, 1,550.01 and 384.14

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Solution

The fourth proportional to 1,033.61, 1,550.01 and 384.14 is: 576.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.61 : 1,550.01 = 384.14 : x
  2. Step 2: Convert to fraction form
    1,033.61/1,550.01 = 384.14/x
  3. Step 3: Cross multiply
    1,033.61x = 1,550.01 × 384.14
  4. Step 4: Simplify right side
    1,033.61x = 595,420.84
  5. Step 5: Solve for x
    x = 595,420.84/1,033.61
  6. Step 6: Final answer
    x = 576.06

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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.