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Finding the Fourth Proportional to 1,133.87, 1,564.69 and 661.79

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Solution

The fourth proportional to 1,133.87, 1,564.69 and 661.79 is: 913.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.87 : 1,564.69 = 661.79 : x
  2. Step 2: Convert to fraction form
    1,133.87/1,564.69 = 661.79/x
  3. Step 3: Cross multiply
    1,133.87x = 1,564.69 × 661.79
  4. Step 4: Simplify right side
    1,133.87x = 1,035,485.06
  5. Step 5: Solve for x
    x = 1,035,485.06/1,133.87
  6. Step 6: Final answer
    x = 913.23

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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.