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Finding the Fourth Proportional to 1,137.64, 1,573.62 and 1,064.44

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Solution

The fourth proportional to 1,137.64, 1,573.62 and 1,064.44 is: 1,472.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.64 : 1,573.62 = 1,064.44 : x
  2. Step 2: Convert to fraction form
    1,137.64/1,573.62 = 1,064.44/x
  3. Step 3: Cross multiply
    1,137.64x = 1,573.62 × 1,064.44
  4. Step 4: Simplify right side
    1,137.64x = 1,675,024.07
  5. Step 5: Solve for x
    x = 1,675,024.07/1,137.64
  6. Step 6: Final answer
    x = 1,472.37

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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.