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Finding the Fourth Proportional to 1,133.54, 1,564.10 and 713.16

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Solution

The fourth proportional to 1,133.54, 1,564.10 and 713.16 is: 984.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.54 : 1,564.10 = 713.16 : x
  2. Step 2: Convert to fraction form
    1,133.54/1,564.10 = 713.16/x
  3. Step 3: Cross multiply
    1,133.54x = 1,564.10 × 713.16
  4. Step 4: Simplify right side
    1,133.54x = 1,115,453.56
  5. Step 5: Solve for x
    x = 1,115,453.56/1,133.54
  6. Step 6: Final answer
    x = 984.04

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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.