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Finding the Fourth Proportional to 1,743.75, 2,613.93 and 632.83

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Solution

The fourth proportional to 1,743.75, 2,613.93 and 632.83 is: 948.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743.75 : 2,613.93 = 632.83 : x
  2. Step 2: Convert to fraction form
    1,743.75/2,613.93 = 632.83/x
  3. Step 3: Cross multiply
    1,743.75x = 2,613.93 × 632.83
  4. Step 4: Simplify right side
    1,743.75x = 1,654,173.32
  5. Step 5: Solve for x
    x = 1,654,173.32/1,743.75
  6. Step 6: Final answer
    x = 948.63

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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.