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Finding the Fourth Proportional to 1,106.73, 1,525.43 and 713.07

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Solution

The fourth proportional to 1,106.73, 1,525.43 and 713.07 is: 982.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.73 : 1,525.43 = 713.07 : x
  2. Step 2: Convert to fraction form
    1,106.73/1,525.43 = 713.07/x
  3. Step 3: Cross multiply
    1,106.73x = 1,525.43 × 713.07
  4. Step 4: Simplify right side
    1,106.73x = 1,087,740.15
  5. Step 5: Solve for x
    x = 1,087,740.15/1,106.73
  6. Step 6: Final answer
    x = 982.84

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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.