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Finding the Fourth Proportional to 1,459.74, 2,189.86 and 582.25

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Solution

The fourth proportional to 1,459.74, 2,189.86 and 582.25 is: 873.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459.74 : 2,189.86 = 582.25 : x
  2. Step 2: Convert to fraction form
    1,459.74/2,189.86 = 582.25/x
  3. Step 3: Cross multiply
    1,459.74x = 2,189.86 × 582.25
  4. Step 4: Simplify right side
    1,459.74x = 1,275,045.99
  5. Step 5: Solve for x
    x = 1,275,045.99/1,459.74
  6. Step 6: Final answer
    x = 873.47

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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.