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Finding the Fourth Proportional to 1,107.75, 1,529.37 and 715.47

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Solution

The fourth proportional to 1,107.75, 1,529.37 and 715.47 is: 987.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.75 : 1,529.37 = 715.47 : x
  2. Step 2: Convert to fraction form
    1,107.75/1,529.37 = 715.47/x
  3. Step 3: Cross multiply
    1,107.75x = 1,529.37 × 715.47
  4. Step 4: Simplify right side
    1,107.75x = 1,094,218.35
  5. Step 5: Solve for x
    x = 1,094,218.35/1,107.75
  6. Step 6: Final answer
    x = 987.78

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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.