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Finding the Fourth Proportional to 949.95, 1,426.48 and 797.13

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Solution

The fourth proportional to 949.95, 1,426.48 and 797.13 is: 1,197.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.95 : 1,426.48 = 797.13 : x
  2. Step 2: Convert to fraction form
    949.95/1,426.48 = 797.13/x
  3. Step 3: Cross multiply
    949.95x = 1,426.48 × 797.13
  4. Step 4: Simplify right side
    949.95x = 1,137,088.01
  5. Step 5: Solve for x
    x = 1,137,088.01/949.95
  6. Step 6: Final answer
    x = 1,197.00

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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.