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Finding the Fourth Proportional to 897.92, 1,348.92 and 774.94

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Solution

The fourth proportional to 897.92, 1,348.92 and 774.94 is: 1,164.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.92 : 1,348.92 = 774.94 : x
  2. Step 2: Convert to fraction form
    897.92/1,348.92 = 774.94/x
  3. Step 3: Cross multiply
    897.92x = 1,348.92 × 774.94
  4. Step 4: Simplify right side
    897.92x = 1,045,332.06
  5. Step 5: Solve for x
    x = 1,045,332.06/897.92
  6. Step 6: Final answer
    x = 1,164.17

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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.