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Finding the Fourth Proportional to 1,253.83, 1,879.60 and 637.21

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Solution

The fourth proportional to 1,253.83, 1,879.60 and 637.21 is: 955.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.83 : 1,879.60 = 637.21 : x
  2. Step 2: Convert to fraction form
    1,253.83/1,879.60 = 637.21/x
  3. Step 3: Cross multiply
    1,253.83x = 1,879.60 × 637.21
  4. Step 4: Simplify right side
    1,253.83x = 1,197,699.92
  5. Step 5: Solve for x
    x = 1,197,699.92/1,253.83
  6. Step 6: Final answer
    x = 955.23

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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.