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Finding the Fourth Proportional to 1,133.32, 1,564.20 and 661.27

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Solution

The fourth proportional to 1,133.32, 1,564.20 and 661.27 is: 912.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.32 : 1,564.20 = 661.27 : x
  2. Step 2: Convert to fraction form
    1,133.32/1,564.20 = 661.27/x
  3. Step 3: Cross multiply
    1,133.32x = 1,564.20 × 661.27
  4. Step 4: Simplify right side
    1,133.32x = 1,034,358.53
  5. Step 5: Solve for x
    x = 1,034,358.53/1,133.32
  6. Step 6: Final answer
    x = 912.68

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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.