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Finding the Fourth Proportional to 1,105.63, 1,525.46 and 712.88

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Solution

The fourth proportional to 1,105.63, 1,525.46 and 712.88 is: 983.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.63 : 1,525.46 = 712.88 : x
  2. Step 2: Convert to fraction form
    1,105.63/1,525.46 = 712.88/x
  3. Step 3: Cross multiply
    1,105.63x = 1,525.46 × 712.88
  4. Step 4: Simplify right side
    1,105.63x = 1,087,470.17
  5. Step 5: Solve for x
    x = 1,087,470.17/1,105.63
  6. Step 6: Final answer
    x = 983.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.