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Finding the Fourth Proportional to 1,106.73, 1,527.12 and 713.68

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Solution

The fourth proportional to 1,106.73, 1,527.12 and 713.68 is: 984.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.73 : 1,527.12 = 713.68 : x
  2. Step 2: Convert to fraction form
    1,106.73/1,527.12 = 713.68/x
  3. Step 3: Cross multiply
    1,106.73x = 1,527.12 × 713.68
  4. Step 4: Simplify right side
    1,106.73x = 1,089,871.18
  5. Step 5: Solve for x
    x = 1,089,871.18/1,106.73
  6. Step 6: Final answer
    x = 984.77

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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.