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Finding the Fourth Proportional to 897.46, 1,346.19 and 717.64

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Solution

The fourth proportional to 897.46, 1,346.19 and 717.64 is: 1,076.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.46 : 1,346.19 = 717.64 : x
  2. Step 2: Convert to fraction form
    897.46/1,346.19 = 717.64/x
  3. Step 3: Cross multiply
    897.46x = 1,346.19 × 717.64
  4. Step 4: Simplify right side
    897.46x = 966,079.79
  5. Step 5: Solve for x
    x = 966,079.79/897.46
  6. Step 6: Final answer
    x = 1,076.46

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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.