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Finding the Fourth Proportional to 811.77, 1,120.31 and 497.07

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Solution

The fourth proportional to 811.77, 1,120.31 and 497.07 is: 686.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.77 : 1,120.31 = 497.07 : x
  2. Step 2: Convert to fraction form
    811.77/1,120.31 = 497.07/x
  3. Step 3: Cross multiply
    811.77x = 1,120.31 × 497.07
  4. Step 4: Simplify right side
    811.77x = 556,872.49
  5. Step 5: Solve for x
    x = 556,872.49/811.77
  6. Step 6: Final answer
    x = 686.00

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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.