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Finding the Fourth Proportional to 1,035.37, 1,549.34 and 760.78

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Solution

The fourth proportional to 1,035.37, 1,549.34 and 760.78 is: 1,138.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.37 : 1,549.34 = 760.78 : x
  2. Step 2: Convert to fraction form
    1,035.37/1,549.34 = 760.78/x
  3. Step 3: Cross multiply
    1,035.37x = 1,549.34 × 760.78
  4. Step 4: Simplify right side
    1,035.37x = 1,178,703.08
  5. Step 5: Solve for x
    x = 1,178,703.08/1,035.37
  6. Step 6: Final answer
    x = 1,138.44

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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.