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Finding the Fourth Proportional to 970.22, 1,455.37 and 580.41

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Solution

The fourth proportional to 970.22, 1,455.37 and 580.41 is: 870.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.22 : 1,455.37 = 580.41 : x
  2. Step 2: Convert to fraction form
    970.22/1,455.37 = 580.41/x
  3. Step 3: Cross multiply
    970.22x = 1,455.37 × 580.41
  4. Step 4: Simplify right side
    970.22x = 844,709.85
  5. Step 5: Solve for x
    x = 844,709.85/970.22
  6. Step 6: Final answer
    x = 870.64

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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.