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Finding the Fourth Proportional to 1,201.53, 1,657.19 and 829.13

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Solution

The fourth proportional to 1,201.53, 1,657.19 and 829.13 is: 1,143.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.53 : 1,657.19 = 829.13 : x
  2. Step 2: Convert to fraction form
    1,201.53/1,657.19 = 829.13/x
  3. Step 3: Cross multiply
    1,201.53x = 1,657.19 × 829.13
  4. Step 4: Simplify right side
    1,201.53x = 1,374,013.51
  5. Step 5: Solve for x
    x = 1,374,013.51/1,201.53
  6. Step 6: Final answer
    x = 1,143.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.