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Finding the Fourth Proportional to 897.36, 1,343.28 and 653.82

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Solution

The fourth proportional to 897.36, 1,343.28 and 653.82 is: 978.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.36 : 1,343.28 = 653.82 : x
  2. Step 2: Convert to fraction form
    897.36/1,343.28 = 653.82/x
  3. Step 3: Cross multiply
    897.36x = 1,343.28 × 653.82
  4. Step 4: Simplify right side
    897.36x = 878,263.33
  5. Step 5: Solve for x
    x = 878,263.33/897.36
  6. Step 6: Final answer
    x = 978.72

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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.