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Finding the Fourth Proportional to 1,513.60, 2,270.30 and 539.71

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Solution

The fourth proportional to 1,513.60, 2,270.30 and 539.71 is: 809.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.60 : 2,270.30 = 539.71 : x
  2. Step 2: Convert to fraction form
    1,513.60/2,270.30 = 539.71/x
  3. Step 3: Cross multiply
    1,513.60x = 2,270.30 × 539.71
  4. Step 4: Simplify right side
    1,513.60x = 1,225,295.24
  5. Step 5: Solve for x
    x = 1,225,295.24/1,513.60
  6. Step 6: Final answer
    x = 809.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.