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Finding the Fourth Proportional to 897.68, 1,346.40 and 531.28

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Solution

The fourth proportional to 897.68, 1,346.40 and 531.28 is: 796.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.68 : 1,346.40 = 531.28 : x
  2. Step 2: Convert to fraction form
    897.68/1,346.40 = 531.28/x
  3. Step 3: Cross multiply
    897.68x = 1,346.40 × 531.28
  4. Step 4: Simplify right side
    897.68x = 715,315.39
  5. Step 5: Solve for x
    x = 715,315.39/897.68
  6. Step 6: Final answer
    x = 796.85

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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.