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Finding the Fourth Proportional to 1,137.16, 1,569.02 and 764.84

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Solution

The fourth proportional to 1,137.16, 1,569.02 and 764.84 is: 1,055.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.16 : 1,569.02 = 764.84 : x
  2. Step 2: Convert to fraction form
    1,137.16/1,569.02 = 764.84/x
  3. Step 3: Cross multiply
    1,137.16x = 1,569.02 × 764.84
  4. Step 4: Simplify right side
    1,137.16x = 1,200,049.26
  5. Step 5: Solve for x
    x = 1,200,049.26/1,137.16
  6. Step 6: Final answer
    x = 1,055.30

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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.