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Finding the Fourth Proportional to 1,131.68, 1,561.20 and 665.84

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Solution

The fourth proportional to 1,131.68, 1,561.20 and 665.84 is: 918.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.68 : 1,561.20 = 665.84 : x
  2. Step 2: Convert to fraction form
    1,131.68/1,561.20 = 665.84/x
  3. Step 3: Cross multiply
    1,131.68x = 1,561.20 × 665.84
  4. Step 4: Simplify right side
    1,131.68x = 1,039,509.41
  5. Step 5: Solve for x
    x = 1,039,509.41/1,131.68
  6. Step 6: Final answer
    x = 918.55

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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.