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Finding the Fourth Proportional to 1,091.68, 1,506.61 and 619.59

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Solution

The fourth proportional to 1,091.68, 1,506.61 and 619.59 is: 855.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.68 : 1,506.61 = 619.59 : x
  2. Step 2: Convert to fraction form
    1,091.68/1,506.61 = 619.59/x
  3. Step 3: Cross multiply
    1,091.68x = 1,506.61 × 619.59
  4. Step 4: Simplify right side
    1,091.68x = 933,480.49
  5. Step 5: Solve for x
    x = 933,480.49/1,091.68
  6. Step 6: Final answer
    x = 855.09

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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.