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Finding the Fourth Proportional to 1,133.13, 1,563.72 and 661.35

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Solution

The fourth proportional to 1,133.13, 1,563.72 and 661.35 is: 912.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.13 : 1,563.72 = 661.35 : x
  2. Step 2: Convert to fraction form
    1,133.13/1,563.72 = 661.35/x
  3. Step 3: Cross multiply
    1,133.13x = 1,563.72 × 661.35
  4. Step 4: Simplify right side
    1,133.13x = 1,034,160.66
  5. Step 5: Solve for x
    x = 1,034,160.66/1,133.13
  6. Step 6: Final answer
    x = 912.66

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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.