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Finding the Fourth Proportional to 897.21, 1,347.84 and 774.16

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Solution

The fourth proportional to 897.21, 1,347.84 and 774.16 is: 1,162.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.21 : 1,347.84 = 774.16 : x
  2. Step 2: Convert to fraction form
    897.21/1,347.84 = 774.16/x
  3. Step 3: Cross multiply
    897.21x = 1,347.84 × 774.16
  4. Step 4: Simplify right side
    897.21x = 1,043,440.44
  5. Step 5: Solve for x
    x = 1,043,440.44/897.21
  6. Step 6: Final answer
    x = 1,162.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.