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Finding the Fourth Proportional to 897.52, 1,346.16 and 464.56

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Solution

The fourth proportional to 897.52, 1,346.16 and 464.56 is: 696.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.52 : 1,346.16 = 464.56 : x
  2. Step 2: Convert to fraction form
    897.52/1,346.16 = 464.56/x
  3. Step 3: Cross multiply
    897.52x = 1,346.16 × 464.56
  4. Step 4: Simplify right side
    897.52x = 625,372.09
  5. Step 5: Solve for x
    x = 625,372.09/897.52
  6. Step 6: Final answer
    x = 696.78

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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.