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Finding the Fourth Proportional to 1,110.51, 1,665.84 and 288.81

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Solution

The fourth proportional to 1,110.51, 1,665.84 and 288.81 is: 433.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.51 : 1,665.84 = 288.81 : x
  2. Step 2: Convert to fraction form
    1,110.51/1,665.84 = 288.81/x
  3. Step 3: Cross multiply
    1,110.51x = 1,665.84 × 288.81
  4. Step 4: Simplify right side
    1,110.51x = 481,111.25
  5. Step 5: Solve for x
    x = 481,111.25/1,110.51
  6. Step 6: Final answer
    x = 433.23

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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.