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Finding the Fourth Proportional to 1,520.49, 2,280.70 and 424.83

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Solution

The fourth proportional to 1,520.49, 2,280.70 and 424.83 is: 637.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.49 : 2,280.70 = 424.83 : x
  2. Step 2: Convert to fraction form
    1,520.49/2,280.70 = 424.83/x
  3. Step 3: Cross multiply
    1,520.49x = 2,280.70 × 424.83
  4. Step 4: Simplify right side
    1,520.49x = 968,907.66
  5. Step 5: Solve for x
    x = 968,907.66/1,520.49
  6. Step 6: Final answer
    x = 637.23

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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.