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Finding the Fourth Proportional to 1,141.91, 1,710.76 and 593.51

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Solution

The fourth proportional to 1,141.91, 1,710.76 and 593.51 is: 889.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.91 : 1,710.76 = 593.51 : x
  2. Step 2: Convert to fraction form
    1,141.91/1,710.76 = 593.51/x
  3. Step 3: Cross multiply
    1,141.91x = 1,710.76 × 593.51
  4. Step 4: Simplify right side
    1,141.91x = 1,015,353.17
  5. Step 5: Solve for x
    x = 1,015,353.17/1,141.91
  6. Step 6: Final answer
    x = 889.17

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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.