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Finding the Fourth Proportional to 897.59, 1,346.45 and 464.82

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Solution

The fourth proportional to 897.59, 1,346.45 and 464.82 is: 697.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.59 : 1,346.45 = 464.82 : x
  2. Step 2: Convert to fraction form
    897.59/1,346.45 = 464.82/x
  3. Step 3: Cross multiply
    897.59x = 1,346.45 × 464.82
  4. Step 4: Simplify right side
    897.59x = 625,854.56
  5. Step 5: Solve for x
    x = 625,854.56/897.59
  6. Step 6: Final answer
    x = 697.26

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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.