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Finding the Fourth Proportional to 1,513.57, 2,270.61 and 473.37

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Solution

The fourth proportional to 1,513.57, 2,270.61 and 473.37 is: 710.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.57 : 2,270.61 = 473.37 : x
  2. Step 2: Convert to fraction form
    1,513.57/2,270.61 = 473.37/x
  3. Step 3: Cross multiply
    1,513.57x = 2,270.61 × 473.37
  4. Step 4: Simplify right side
    1,513.57x = 1,074,826.12
  5. Step 5: Solve for x
    x = 1,074,826.12/1,513.57
  6. Step 6: Final answer
    x = 710.13

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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.