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Finding the Fourth Proportional to 1,356.88, 1,873.28 and 859.96

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Solution

The fourth proportional to 1,356.88, 1,873.28 and 859.96 is: 1,187.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.88 : 1,873.28 = 859.96 : x
  2. Step 2: Convert to fraction form
    1,356.88/1,873.28 = 859.96/x
  3. Step 3: Cross multiply
    1,356.88x = 1,873.28 × 859.96
  4. Step 4: Simplify right side
    1,356.88x = 1,610,945.87
  5. Step 5: Solve for x
    x = 1,610,945.87/1,356.88
  6. Step 6: Final answer
    x = 1,187.24

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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.