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Finding the Fourth Proportional to 1,365.31, 2,048.37 and 635.77

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Solution

The fourth proportional to 1,365.31, 2,048.37 and 635.77 is: 953.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.31 : 2,048.37 = 635.77 : x
  2. Step 2: Convert to fraction form
    1,365.31/2,048.37 = 635.77/x
  3. Step 3: Cross multiply
    1,365.31x = 2,048.37 × 635.77
  4. Step 4: Simplify right side
    1,365.31x = 1,302,292.19
  5. Step 5: Solve for x
    x = 1,302,292.19/1,365.31
  6. Step 6: Final answer
    x = 953.84

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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.