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Finding the Fourth Proportional to 1,091.99, 1,506.96 and 619.88

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Solution

The fourth proportional to 1,091.99, 1,506.96 and 619.88 is: 855.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.99 : 1,506.96 = 619.88 : x
  2. Step 2: Convert to fraction form
    1,091.99/1,506.96 = 619.88/x
  3. Step 3: Cross multiply
    1,091.99x = 1,506.96 × 619.88
  4. Step 4: Simplify right side
    1,091.99x = 934,126.83
  5. Step 5: Solve for x
    x = 934,126.83/1,091.99
  6. Step 6: Final answer
    x = 855.44

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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.