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Finding the Fourth Proportional to 1,256.96, 1,734.56 and 697.45

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Solution

The fourth proportional to 1,256.96, 1,734.56 and 697.45 is: 962.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.96 : 1,734.56 = 697.45 : x
  2. Step 2: Convert to fraction form
    1,256.96/1,734.56 = 697.45/x
  3. Step 3: Cross multiply
    1,256.96x = 1,734.56 × 697.45
  4. Step 4: Simplify right side
    1,256.96x = 1,209,768.87
  5. Step 5: Solve for x
    x = 1,209,768.87/1,256.96
  6. Step 6: Final answer
    x = 962.46

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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.