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Finding the Fourth Proportional to 1,459.59, 2,188.07 and 582.70

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Solution

The fourth proportional to 1,459.59, 2,188.07 and 582.70 is: 873.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459.59 : 2,188.07 = 582.70 : x
  2. Step 2: Convert to fraction form
    1,459.59/2,188.07 = 582.70/x
  3. Step 3: Cross multiply
    1,459.59x = 2,188.07 × 582.70
  4. Step 4: Simplify right side
    1,459.59x = 1,274,988.39
  5. Step 5: Solve for x
    x = 1,274,988.39/1,459.59
  6. Step 6: Final answer
    x = 873.53

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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.