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Finding the Fourth Proportional to 1,105.49, 1,525.28 and 712.75

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Solution

The fourth proportional to 1,105.49, 1,525.28 and 712.75 is: 983.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.49 : 1,525.28 = 712.75 : x
  2. Step 2: Convert to fraction form
    1,105.49/1,525.28 = 712.75/x
  3. Step 3: Cross multiply
    1,105.49x = 1,525.28 × 712.75
  4. Step 4: Simplify right side
    1,105.49x = 1,087,143.32
  5. Step 5: Solve for x
    x = 1,087,143.32/1,105.49
  6. Step 6: Final answer
    x = 983.40

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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.