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Finding the Fourth Proportional to 1,162.31, 1,744.02 and 577.26

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Solution

The fourth proportional to 1,162.31, 1,744.02 and 577.26 is: 866.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.31 : 1,744.02 = 577.26 : x
  2. Step 2: Convert to fraction form
    1,162.31/1,744.02 = 577.26/x
  3. Step 3: Cross multiply
    1,162.31x = 1,744.02 × 577.26
  4. Step 4: Simplify right side
    1,162.31x = 1,006,752.99
  5. Step 5: Solve for x
    x = 1,006,752.99/1,162.31
  6. Step 6: Final answer
    x = 866.17

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Why These Related Problems?

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