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Finding the Fourth Proportional to 1,151.53, 1,726.84 and 604.18

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Solution

The fourth proportional to 1,151.53, 1,726.84 and 604.18 is: 906.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.53 : 1,726.84 = 604.18 : x
  2. Step 2: Convert to fraction form
    1,151.53/1,726.84 = 604.18/x
  3. Step 3: Cross multiply
    1,151.53x = 1,726.84 × 604.18
  4. Step 4: Simplify right side
    1,151.53x = 1,043,322.19
  5. Step 5: Solve for x
    x = 1,043,322.19/1,151.53
  6. Step 6: Final answer
    x = 906.03

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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.