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Finding the Fourth Proportional to 1,513.40, 2,270.52 and 539.54

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Solution

The fourth proportional to 1,513.40, 2,270.52 and 539.54 is: 809.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.40 : 2,270.52 = 539.54 : x
  2. Step 2: Convert to fraction form
    1,513.40/2,270.52 = 539.54/x
  3. Step 3: Cross multiply
    1,513.40x = 2,270.52 × 539.54
  4. Step 4: Simplify right side
    1,513.40x = 1,225,036.36
  5. Step 5: Solve for x
    x = 1,225,036.36/1,513.40
  6. Step 6: Final answer
    x = 809.46

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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.