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Finding the Fourth Proportional to 897.30, 1,343.88 and 778.68

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Solution

The fourth proportional to 897.30, 1,343.88 and 778.68 is: 1,166.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.30 : 1,343.88 = 778.68 : x
  2. Step 2: Convert to fraction form
    897.30/1,343.88 = 778.68/x
  3. Step 3: Cross multiply
    897.30x = 1,343.88 × 778.68
  4. Step 4: Simplify right side
    897.30x = 1,046,452.48
  5. Step 5: Solve for x
    x = 1,046,452.48/897.30
  6. Step 6: Final answer
    x = 1,166.22

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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.