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Finding the Fourth Proportional to 1,365.48, 2,048.40 and 635.22

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Solution

The fourth proportional to 1,365.48, 2,048.40 and 635.22 is: 952.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.48 : 2,048.40 = 635.22 : x
  2. Step 2: Convert to fraction form
    1,365.48/2,048.40 = 635.22/x
  3. Step 3: Cross multiply
    1,365.48x = 2,048.40 × 635.22
  4. Step 4: Simplify right side
    1,365.48x = 1,301,184.65
  5. Step 5: Solve for x
    x = 1,301,184.65/1,365.48
  6. Step 6: Final answer
    x = 952.91

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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.