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Finding the Fourth Proportional to 941.68, 1,412.56 and 817.24

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Solution

The fourth proportional to 941.68, 1,412.56 and 817.24 is: 1,225.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.68 : 1,412.56 = 817.24 : x
  2. Step 2: Convert to fraction form
    941.68/1,412.56 = 817.24/x
  3. Step 3: Cross multiply
    941.68x = 1,412.56 × 817.24
  4. Step 4: Simplify right side
    941.68x = 1,154,400.53
  5. Step 5: Solve for x
    x = 1,154,400.53/941.68
  6. Step 6: Final answer
    x = 1,225.89

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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.