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Finding the Fourth Proportional to 1,089.95, 1,504.06 and 611.38

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Solution

The fourth proportional to 1,089.95, 1,504.06 and 611.38 is: 843.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.95 : 1,504.06 = 611.38 : x
  2. Step 2: Convert to fraction form
    1,089.95/1,504.06 = 611.38/x
  3. Step 3: Cross multiply
    1,089.95x = 1,504.06 × 611.38
  4. Step 4: Simplify right side
    1,089.95x = 919,547.78
  5. Step 5: Solve for x
    x = 919,547.78/1,089.95
  6. Step 6: Final answer
    x = 843.66

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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.