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Finding the Fourth Proportional to 1,271.79, 1,755.28 and 712.40

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Solution

The fourth proportional to 1,271.79, 1,755.28 and 712.40 is: 983.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.79 : 1,755.28 = 712.40 : x
  2. Step 2: Convert to fraction form
    1,271.79/1,755.28 = 712.40/x
  3. Step 3: Cross multiply
    1,271.79x = 1,755.28 × 712.40
  4. Step 4: Simplify right side
    1,271.79x = 1,250,459.01
  5. Step 5: Solve for x
    x = 1,250,459.01/1,271.79
  6. Step 6: Final answer
    x = 983.23

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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.