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Finding the Fourth Proportional to 941.28, 1,412.16 and 507.84

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Solution

The fourth proportional to 941.28, 1,412.16 and 507.84 is: 761.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.28 : 1,412.16 = 507.84 : x
  2. Step 2: Convert to fraction form
    941.28/1,412.16 = 507.84/x
  3. Step 3: Cross multiply
    941.28x = 1,412.16 × 507.84
  4. Step 4: Simplify right side
    941.28x = 717,151.33
  5. Step 5: Solve for x
    x = 717,151.33/941.28
  6. Step 6: Final answer
    x = 761.89

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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.