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Finding the Fourth Proportional to 1,057.27, 1,459.54 and 703.78

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Solution

The fourth proportional to 1,057.27, 1,459.54 and 703.78 is: 971.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.27 : 1,459.54 = 703.78 : x
  2. Step 2: Convert to fraction form
    1,057.27/1,459.54 = 703.78/x
  3. Step 3: Cross multiply
    1,057.27x = 1,459.54 × 703.78
  4. Step 4: Simplify right side
    1,057.27x = 1,027,195.06
  5. Step 5: Solve for x
    x = 1,027,195.06/1,057.27
  6. Step 6: Final answer
    x = 971.55

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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.