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Finding the Fourth Proportional to 974.51, 1,459.14 and 582.67

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Solution

The fourth proportional to 974.51, 1,459.14 and 582.67 is: 872.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.51 : 1,459.14 = 582.67 : x
  2. Step 2: Convert to fraction form
    974.51/1,459.14 = 582.67/x
  3. Step 3: Cross multiply
    974.51x = 1,459.14 × 582.67
  4. Step 4: Simplify right side
    974.51x = 850,194.28
  5. Step 5: Solve for x
    x = 850,194.28/974.51
  6. Step 6: Final answer
    x = 872.44

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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.