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Finding the Fourth Proportional to 1,256.69, 1,734.28 and 697.12

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Solution

The fourth proportional to 1,256.69, 1,734.28 and 697.12 is: 962.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.69 : 1,734.28 = 697.12 : x
  2. Step 2: Convert to fraction form
    1,256.69/1,734.28 = 697.12/x
  3. Step 3: Cross multiply
    1,256.69x = 1,734.28 × 697.12
  4. Step 4: Simplify right side
    1,256.69x = 1,208,995.20
  5. Step 5: Solve for x
    x = 1,208,995.20/1,256.69
  6. Step 6: Final answer
    x = 962.05

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