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Finding the Fourth Proportional to 897.96, 1,346.94 and 718.14

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Solution

The fourth proportional to 897.96, 1,346.94 and 718.14 is: 1,077.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.96 : 1,346.94 = 718.14 : x
  2. Step 2: Convert to fraction form
    897.96/1,346.94 = 718.14/x
  3. Step 3: Cross multiply
    897.96x = 1,346.94 × 718.14
  4. Step 4: Simplify right side
    897.96x = 967,291.49
  5. Step 5: Solve for x
    x = 967,291.49/897.96
  6. Step 6: Final answer
    x = 1,077.21

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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.