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Finding the Fourth Proportional to 1,105.79, 1,525.20 and 712.94

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Solution

The fourth proportional to 1,105.79, 1,525.20 and 712.94 is: 983.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.79 : 1,525.20 = 712.94 : x
  2. Step 2: Convert to fraction form
    1,105.79/1,525.20 = 712.94/x
  3. Step 3: Cross multiply
    1,105.79x = 1,525.20 × 712.94
  4. Step 4: Simplify right side
    1,105.79x = 1,087,376.09
  5. Step 5: Solve for x
    x = 1,087,376.09/1,105.79
  6. Step 6: Final answer
    x = 983.35

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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.