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Finding the Fourth Proportional to 1,278.86, 1,765.56 and 837.53

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Solution

The fourth proportional to 1,278.86, 1,765.56 and 837.53 is: 1,156.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.86 : 1,765.56 = 837.53 : x
  2. Step 2: Convert to fraction form
    1,278.86/1,765.56 = 837.53/x
  3. Step 3: Cross multiply
    1,278.86x = 1,765.56 × 837.53
  4. Step 4: Simplify right side
    1,278.86x = 1,478,700.64
  5. Step 5: Solve for x
    x = 1,478,700.64/1,278.86
  6. Step 6: Final answer
    x = 1,156.27

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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.