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Finding the Fourth Proportional to 897.43, 1,346.97 and 464.89

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Solution

The fourth proportional to 897.43, 1,346.97 and 464.89 is: 697.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.43 : 1,346.97 = 464.89 : x
  2. Step 2: Convert to fraction form
    897.43/1,346.97 = 464.89/x
  3. Step 3: Cross multiply
    897.43x = 1,346.97 × 464.89
  4. Step 4: Simplify right side
    897.43x = 626,192.88
  5. Step 5: Solve for x
    x = 626,192.88/897.43
  6. Step 6: Final answer
    x = 697.76

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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.