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Finding the Fourth Proportional to 757.09, 1,127.25 and 712.00

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Solution

The fourth proportional to 757.09, 1,127.25 and 712.00 is: 1,060.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.09 : 1,127.25 = 712.00 : x
  2. Step 2: Convert to fraction form
    757.09/1,127.25 = 712.00/x
  3. Step 3: Cross multiply
    757.09x = 1,127.25 × 712.00
  4. Step 4: Simplify right side
    757.09x = 802,599.18
  5. Step 5: Solve for x
    x = 802,599.18/757.09
  6. Step 6: Final answer
    x = 1,060.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.