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Finding the Fourth Proportional to 1,253.37, 1,879.71 and 697.39

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Solution

The fourth proportional to 1,253.37, 1,879.71 and 697.39 is: 1,045.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.37 : 1,879.71 = 697.39 : x
  2. Step 2: Convert to fraction form
    1,253.37/1,879.71 = 697.39/x
  3. Step 3: Cross multiply
    1,253.37x = 1,879.71 × 697.39
  4. Step 4: Simplify right side
    1,253.37x = 1,310,894.22
  5. Step 5: Solve for x
    x = 1,310,894.22/1,253.37
  6. Step 6: Final answer
    x = 1,045.90

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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.