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Finding the Fourth Proportional to 1,140.07, 1,710.03 and 481.66

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Solution

The fourth proportional to 1,140.07, 1,710.03 and 481.66 is: 722.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.07 : 1,710.03 = 481.66 : x
  2. Step 2: Convert to fraction form
    1,140.07/1,710.03 = 481.66/x
  3. Step 3: Cross multiply
    1,140.07x = 1,710.03 × 481.66
  4. Step 4: Simplify right side
    1,140.07x = 823,653.05
  5. Step 5: Solve for x
    x = 823,653.05/1,140.07
  6. Step 6: Final answer
    x = 722.46

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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.