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Finding the Fourth Proportional to 812.59, 1,120.64 and 695.00

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Solution

The fourth proportional to 812.59, 1,120.64 and 695.00 is: 958.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.59 : 1,120.64 = 695.00 : x
  2. Step 2: Convert to fraction form
    812.59/1,120.64 = 695.00/x
  3. Step 3: Cross multiply
    812.59x = 1,120.64 × 695.00
  4. Step 4: Simplify right side
    812.59x = 778,844.13
  5. Step 5: Solve for x
    x = 778,844.13/812.59
  6. Step 6: Final answer
    x = 958.47

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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.