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Finding the Fourth Proportional to 1,513.14, 2,269.94 and 539.02

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Solution

The fourth proportional to 1,513.14, 2,269.94 and 539.02 is: 808.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.14 : 2,269.94 = 539.02 : x
  2. Step 2: Convert to fraction form
    1,513.14/2,269.94 = 539.02/x
  3. Step 3: Cross multiply
    1,513.14x = 2,269.94 × 539.02
  4. Step 4: Simplify right side
    1,513.14x = 1,223,533.46
  5. Step 5: Solve for x
    x = 1,223,533.46/1,513.14
  6. Step 6: Final answer
    x = 808.60

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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.