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Finding the Fourth Proportional to 1,520.27, 2,280.07 and 595.52

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Solution

The fourth proportional to 1,520.27, 2,280.07 and 595.52 is: 893.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.27 : 2,280.07 = 595.52 : x
  2. Step 2: Convert to fraction form
    1,520.27/2,280.07 = 595.52/x
  3. Step 3: Cross multiply
    1,520.27x = 2,280.07 × 595.52
  4. Step 4: Simplify right side
    1,520.27x = 1,357,827.29
  5. Step 5: Solve for x
    x = 1,357,827.29/1,520.27
  6. Step 6: Final answer
    x = 893.15

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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.