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Finding the Fourth Proportional to 972.13, 1,458.60 and 582.88

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Solution

The fourth proportional to 972.13, 1,458.60 and 582.88 is: 874.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.13 : 1,458.60 = 582.88 : x
  2. Step 2: Convert to fraction form
    972.13/1,458.60 = 582.88/x
  3. Step 3: Cross multiply
    972.13x = 1,458.60 × 582.88
  4. Step 4: Simplify right side
    972.13x = 850,188.77
  5. Step 5: Solve for x
    x = 850,188.77/972.13
  6. Step 6: Final answer
    x = 874.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.