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Finding the Fourth Proportional to 1,053.85, 1,454.60 and 611.66

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Solution

The fourth proportional to 1,053.85, 1,454.60 and 611.66 is: 844.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.85 : 1,454.60 = 611.66 : x
  2. Step 2: Convert to fraction form
    1,053.85/1,454.60 = 611.66/x
  3. Step 3: Cross multiply
    1,053.85x = 1,454.60 × 611.66
  4. Step 4: Simplify right side
    1,053.85x = 889,713.94
  5. Step 5: Solve for x
    x = 889,713.94/1,053.85
  6. Step 6: Final answer
    x = 844.25

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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.