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Finding the Fourth Proportional to 1,137.50, 1,569.26 and 764.60

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Solution

The fourth proportional to 1,137.50, 1,569.26 and 764.60 is: 1,054.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.50 : 1,569.26 = 764.60 : x
  2. Step 2: Convert to fraction form
    1,137.50/1,569.26 = 764.60/x
  3. Step 3: Cross multiply
    1,137.50x = 1,569.26 × 764.60
  4. Step 4: Simplify right side
    1,137.50x = 1,199,856.20
  5. Step 5: Solve for x
    x = 1,199,856.20/1,137.50
  6. Step 6: Final answer
    x = 1,054.82

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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.