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Finding the Fourth Proportional to 1,054.78, 1,583.25 and 746.98

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Solution

The fourth proportional to 1,054.78, 1,583.25 and 746.98 is: 1,121.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.78 : 1,583.25 = 746.98 : x
  2. Step 2: Convert to fraction form
    1,054.78/1,583.25 = 746.98/x
  3. Step 3: Cross multiply
    1,054.78x = 1,583.25 × 746.98
  4. Step 4: Simplify right side
    1,054.78x = 1,182,656.09
  5. Step 5: Solve for x
    x = 1,182,656.09/1,054.78
  6. Step 6: Final answer
    x = 1,121.23

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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.