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Finding the Fourth Proportional to 1,166.29, 1,744.03 and 903.31

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Solution

The fourth proportional to 1,166.29, 1,744.03 and 903.31 is: 1,350.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.29 : 1,744.03 = 903.31 : x
  2. Step 2: Convert to fraction form
    1,166.29/1,744.03 = 903.31/x
  3. Step 3: Cross multiply
    1,166.29x = 1,744.03 × 903.31
  4. Step 4: Simplify right side
    1,166.29x = 1,575,386.50
  5. Step 5: Solve for x
    x = 1,575,386.50/1,166.29
  6. Step 6: Final answer
    x = 1,350.77

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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.