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Finding the Fourth Proportional to 1,077.56, 1,485.47 and 761.84

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Solution

The fourth proportional to 1,077.56, 1,485.47 and 761.84 is: 1,050.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.56 : 1,485.47 = 761.84 : x
  2. Step 2: Convert to fraction form
    1,077.56/1,485.47 = 761.84/x
  3. Step 3: Cross multiply
    1,077.56x = 1,485.47 × 761.84
  4. Step 4: Simplify right side
    1,077.56x = 1,131,686.66
  5. Step 5: Solve for x
    x = 1,131,686.66/1,077.56
  6. Step 6: Final answer
    x = 1,050.23

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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.