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Finding the Fourth Proportional to 797.70, 1,190.13 and 710.00

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Solution

The fourth proportional to 797.70, 1,190.13 and 710.00 is: 1,059.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.70 : 1,190.13 = 710.00 : x
  2. Step 2: Convert to fraction form
    797.70/1,190.13 = 710.00/x
  3. Step 3: Cross multiply
    797.70x = 1,190.13 × 710.00
  4. Step 4: Simplify right side
    797.70x = 844,986.35
  5. Step 5: Solve for x
    x = 844,986.35/797.70
  6. Step 6: Final answer
    x = 1,059.28

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.