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Finding the Fourth Proportional to 941.76, 1,410.96 and 617.28

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Solution

The fourth proportional to 941.76, 1,410.96 and 617.28 is: 924.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.76 : 1,410.96 = 617.28 : x
  2. Step 2: Convert to fraction form
    941.76/1,410.96 = 617.28/x
  3. Step 3: Cross multiply
    941.76x = 1,410.96 × 617.28
  4. Step 4: Simplify right side
    941.76x = 870,957.39
  5. Step 5: Solve for x
    x = 870,957.39/941.76
  6. Step 6: Final answer
    x = 924.82

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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.