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Finding the Fourth Proportional to 1,271.93, 1,755.36 and 712.51

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Solution

The fourth proportional to 1,271.93, 1,755.36 and 712.51 is: 983.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.93 : 1,755.36 = 712.51 : x
  2. Step 2: Convert to fraction form
    1,271.93/1,755.36 = 712.51/x
  3. Step 3: Cross multiply
    1,271.93x = 1,755.36 × 712.51
  4. Step 4: Simplify right side
    1,271.93x = 1,250,707.17
  5. Step 5: Solve for x
    x = 1,250,707.17/1,271.93
  6. Step 6: Final answer
    x = 983.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.