Home / 1,033.13-1,549.70-263.63

Finding the Fourth Proportional to 1,033.13, 1,549.70 and 263.63

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Solution

The fourth proportional to 1,033.13, 1,549.70 and 263.63 is: 395.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.13 : 1,549.70 = 263.63 : x
  2. Step 2: Convert to fraction form
    1,033.13/1,549.70 = 263.63/x
  3. Step 3: Cross multiply
    1,033.13x = 1,549.70 × 263.63
  4. Step 4: Simplify right side
    1,033.13x = 408,538.34
  5. Step 5: Solve for x
    x = 408,538.34/1,033.13
  6. Step 6: Final answer
    x = 395.44

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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.