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Finding the Fourth Proportional to 1,122.19, 1,681.39 and 711.79

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Solution

The fourth proportional to 1,122.19, 1,681.39 and 711.79 is: 1,066.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.19 : 1,681.39 = 711.79 : x
  2. Step 2: Convert to fraction form
    1,122.19/1,681.39 = 711.79/x
  3. Step 3: Cross multiply
    1,122.19x = 1,681.39 × 711.79
  4. Step 4: Simplify right side
    1,122.19x = 1,196,796.59
  5. Step 5: Solve for x
    x = 1,196,796.59/1,122.19
  6. Step 6: Final answer
    x = 1,066.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.