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Finding the Fourth Proportional to 1,141.67, 1,712.76 and 401.39

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Solution

The fourth proportional to 1,141.67, 1,712.76 and 401.39 is: 602.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.67 : 1,712.76 = 401.39 : x
  2. Step 2: Convert to fraction form
    1,141.67/1,712.76 = 401.39/x
  3. Step 3: Cross multiply
    1,141.67x = 1,712.76 × 401.39
  4. Step 4: Simplify right side
    1,141.67x = 687,484.74
  5. Step 5: Solve for x
    x = 687,484.74/1,141.67
  6. Step 6: Final answer
    x = 602.17

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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.