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Finding the Fourth Proportional to 1,054.41, 1,580.34 and 746.36

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Solution

The fourth proportional to 1,054.41, 1,580.34 and 746.36 is: 1,118.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.41 : 1,580.34 = 746.36 : x
  2. Step 2: Convert to fraction form
    1,054.41/1,580.34 = 746.36/x
  3. Step 3: Cross multiply
    1,054.41x = 1,580.34 × 746.36
  4. Step 4: Simplify right side
    1,054.41x = 1,179,494.66
  5. Step 5: Solve for x
    x = 1,179,494.66/1,054.41
  6. Step 6: Final answer
    x = 1,118.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.