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Finding the Fourth Proportional to 1,077.66, 1,485.51 and 782.46

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Solution

The fourth proportional to 1,077.66, 1,485.51 and 782.46 is: 1,078.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.66 : 1,485.51 = 782.46 : x
  2. Step 2: Convert to fraction form
    1,077.66/1,485.51 = 782.46/x
  3. Step 3: Cross multiply
    1,077.66x = 1,485.51 × 782.46
  4. Step 4: Simplify right side
    1,077.66x = 1,162,352.15
  5. Step 5: Solve for x
    x = 1,162,352.15/1,077.66
  6. Step 6: Final answer
    x = 1,078.59

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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.