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Finding the Fourth Proportional to 1,110.02, 1,661.93 and 719.06

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Solution

The fourth proportional to 1,110.02, 1,661.93 and 719.06 is: 1,076.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.02 : 1,661.93 = 719.06 : x
  2. Step 2: Convert to fraction form
    1,110.02/1,661.93 = 719.06/x
  3. Step 3: Cross multiply
    1,110.02x = 1,661.93 × 719.06
  4. Step 4: Simplify right side
    1,110.02x = 1,195,020.87
  5. Step 5: Solve for x
    x = 1,195,020.87/1,110.02
  6. Step 6: Final answer
    x = 1,076.57

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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.