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Finding the Fourth Proportional to 1,520.09, 2,280.33 and 583.40

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Solution

The fourth proportional to 1,520.09, 2,280.33 and 583.40 is: 875.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.09 : 2,280.33 = 583.40 : x
  2. Step 2: Convert to fraction form
    1,520.09/2,280.33 = 583.40/x
  3. Step 3: Cross multiply
    1,520.09x = 2,280.33 × 583.40
  4. Step 4: Simplify right side
    1,520.09x = 1,330,344.52
  5. Step 5: Solve for x
    x = 1,330,344.52/1,520.09
  6. Step 6: Final answer
    x = 875.17

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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.