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Finding the Fourth Proportional to 1,448.59, 2,173 and 582.91

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Solution

The fourth proportional to 1,448.59, 2,173 and 582.91 is: 874.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.59 : 2,173 = 582.91 : x
  2. Step 2: Convert to fraction form
    1,448.59/2,173 = 582.91/x
  3. Step 3: Cross multiply
    1,448.59x = 2,173 × 582.91
  4. Step 4: Simplify right side
    1,448.59x = 1,266,663.43
  5. Step 5: Solve for x
    x = 1,266,663.43/1,448.59
  6. Step 6: Final answer
    x = 874.41

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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.