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Finding the Fourth Proportional to 1,065.22, 1,597.05 and 717.69

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Solution

The fourth proportional to 1,065.22, 1,597.05 and 717.69 is: 1,076.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.22 : 1,597.05 = 717.69 : x
  2. Step 2: Convert to fraction form
    1,065.22/1,597.05 = 717.69/x
  3. Step 3: Cross multiply
    1,065.22x = 1,597.05 × 717.69
  4. Step 4: Simplify right side
    1,065.22x = 1,146,178.83
  5. Step 5: Solve for x
    x = 1,146,178.83/1,065.22
  6. Step 6: Final answer
    x = 1,076.00

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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.