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Finding the Fourth Proportional to 1,093.55, 1,510.16 and 935.26

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Solution

The fourth proportional to 1,093.55, 1,510.16 and 935.26 is: 1,291.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.55 : 1,510.16 = 935.26 : x
  2. Step 2: Convert to fraction form
    1,093.55/1,510.16 = 935.26/x
  3. Step 3: Cross multiply
    1,093.55x = 1,510.16 × 935.26
  4. Step 4: Simplify right side
    1,093.55x = 1,412,392.24
  5. Step 5: Solve for x
    x = 1,412,392.24/1,093.55
  6. Step 6: Final answer
    x = 1,291.57

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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.