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Finding the Fourth Proportional to 797.88, 1,195.16 and 524.10

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Solution

The fourth proportional to 797.88, 1,195.16 and 524.10 is: 785.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.88 : 1,195.16 = 524.10 : x
  2. Step 2: Convert to fraction form
    797.88/1,195.16 = 524.10/x
  3. Step 3: Cross multiply
    797.88x = 1,195.16 × 524.10
  4. Step 4: Simplify right side
    797.88x = 626,383.36
  5. Step 5: Solve for x
    x = 626,383.36/797.88
  6. Step 6: Final answer
    x = 785.06

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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.