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Finding the Fourth Proportional to 1,459.68, 2,188.63 and 582.31

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Solution

The fourth proportional to 1,459.68, 2,188.63 and 582.31 is: 873.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459.68 : 2,188.63 = 582.31 : x
  2. Step 2: Convert to fraction form
    1,459.68/2,188.63 = 582.31/x
  3. Step 3: Cross multiply
    1,459.68x = 2,188.63 × 582.31
  4. Step 4: Simplify right side
    1,459.68x = 1,274,464.60
  5. Step 5: Solve for x
    x = 1,274,464.60/1,459.68
  6. Step 6: Final answer
    x = 873.11

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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.