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Finding the Fourth Proportional to 1,513.73, 2,270.61 and 647.44

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Solution

The fourth proportional to 1,513.73, 2,270.61 and 647.44 is: 971.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.73 : 2,270.61 = 647.44 : x
  2. Step 2: Convert to fraction form
    1,513.73/2,270.61 = 647.44/x
  3. Step 3: Cross multiply
    1,513.73x = 2,270.61 × 647.44
  4. Step 4: Simplify right side
    1,513.73x = 1,470,078.06
  5. Step 5: Solve for x
    x = 1,470,078.06/1,513.73
  6. Step 6: Final answer
    x = 971.16

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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.