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Finding the Fourth Proportional to 1,183.47, 1,633.19 and 652.34

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Solution

The fourth proportional to 1,183.47, 1,633.19 and 652.34 is: 900.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.47 : 1,633.19 = 652.34 : x
  2. Step 2: Convert to fraction form
    1,183.47/1,633.19 = 652.34/x
  3. Step 3: Cross multiply
    1,183.47x = 1,633.19 × 652.34
  4. Step 4: Simplify right side
    1,183.47x = 1,065,386.80
  5. Step 5: Solve for x
    x = 1,065,386.80/1,183.47
  6. Step 6: Final answer
    x = 900.23

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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.