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Finding the Fourth Proportional to 1,227.29, 1,693.84 and 703.33

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Solution

The fourth proportional to 1,227.29, 1,693.84 and 703.33 is: 970.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.29 : 1,693.84 = 703.33 : x
  2. Step 2: Convert to fraction form
    1,227.29/1,693.84 = 703.33/x
  3. Step 3: Cross multiply
    1,227.29x = 1,693.84 × 703.33
  4. Step 4: Simplify right side
    1,227.29x = 1,191,322.49
  5. Step 5: Solve for x
    x = 1,191,322.49/1,227.29
  6. Step 6: Final answer
    x = 970.69

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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.