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Finding the Fourth Proportional to 1,077.39, 1,486.80 and 611.64

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Solution

The fourth proportional to 1,077.39, 1,486.80 and 611.64 is: 844.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.39 : 1,486.80 = 611.64 : x
  2. Step 2: Convert to fraction form
    1,077.39/1,486.80 = 611.64/x
  3. Step 3: Cross multiply
    1,077.39x = 1,486.80 × 611.64
  4. Step 4: Simplify right side
    1,077.39x = 909,386.35
  5. Step 5: Solve for x
    x = 909,386.35/1,077.39
  6. Step 6: Final answer
    x = 844.06

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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.