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Finding the Fourth Proportional to 1,133.23, 1,563.93 and 661.24

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Solution

The fourth proportional to 1,133.23, 1,563.93 and 661.24 is: 912.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.23 : 1,563.93 = 661.24 : x
  2. Step 2: Convert to fraction form
    1,133.23/1,563.93 = 661.24/x
  3. Step 3: Cross multiply
    1,133.23x = 1,563.93 × 661.24
  4. Step 4: Simplify right side
    1,133.23x = 1,034,125.25
  5. Step 5: Solve for x
    x = 1,034,125.25/1,133.23
  6. Step 6: Final answer
    x = 912.55

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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.