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Finding the Fourth Proportional to 940.71, 1,298.77 and 604.75

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Solution

The fourth proportional to 940.71, 1,298.77 and 604.75 is: 834.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.71 : 1,298.77 = 604.75 : x
  2. Step 2: Convert to fraction form
    940.71/1,298.77 = 604.75/x
  3. Step 3: Cross multiply
    940.71x = 1,298.77 × 604.75
  4. Step 4: Simplify right side
    940.71x = 785,421.64
  5. Step 5: Solve for x
    x = 785,421.64/940.71
  6. Step 6: Final answer
    x = 834.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.