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Finding the Fourth Proportional to 1,513.41, 2,271.09 and 647.73

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Solution

The fourth proportional to 1,513.41, 2,271.09 and 647.73 is: 972.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.41 : 2,271.09 = 647.73 : x
  2. Step 2: Convert to fraction form
    1,513.41/2,271.09 = 647.73/x
  3. Step 3: Cross multiply
    1,513.41x = 2,271.09 × 647.73
  4. Step 4: Simplify right side
    1,513.41x = 1,471,053.13
  5. Step 5: Solve for x
    x = 1,471,053.13/1,513.41
  6. Step 6: Final answer
    x = 972.01

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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.