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Finding the Fourth Proportional to 972.67, 1,459.37 and 582.95

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Solution

The fourth proportional to 972.67, 1,459.37 and 582.95 is: 874.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.67 : 1,459.37 = 582.95 : x
  2. Step 2: Convert to fraction form
    972.67/1,459.37 = 582.95/x
  3. Step 3: Cross multiply
    972.67x = 1,459.37 × 582.95
  4. Step 4: Simplify right side
    972.67x = 850,732.44
  5. Step 5: Solve for x
    x = 850,732.44/972.67
  6. Step 6: Final answer
    x = 874.64

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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.