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Finding the Fourth Proportional to 1,513.66, 2,270.74 and 539.50

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Solution

The fourth proportional to 1,513.66, 2,270.74 and 539.50 is: 809.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.66 : 2,270.74 = 539.50 : x
  2. Step 2: Convert to fraction form
    1,513.66/2,270.74 = 539.50/x
  3. Step 3: Cross multiply
    1,513.66x = 2,270.74 × 539.50
  4. Step 4: Simplify right side
    1,513.66x = 1,225,064.23
  5. Step 5: Solve for x
    x = 1,225,064.23/1,513.66
  6. Step 6: Final answer
    x = 809.34

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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.