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Finding the Fourth Proportional to 1,111.13, 1,533.26 and 613.65

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Solution

The fourth proportional to 1,111.13, 1,533.26 and 613.65 is: 846.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.13 : 1,533.26 = 613.65 : x
  2. Step 2: Convert to fraction form
    1,111.13/1,533.26 = 613.65/x
  3. Step 3: Cross multiply
    1,111.13x = 1,533.26 × 613.65
  4. Step 4: Simplify right side
    1,111.13x = 940,885.00
  5. Step 5: Solve for x
    x = 940,885.00/1,111.13
  6. Step 6: Final answer
    x = 846.78

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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.