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Finding the Fourth Proportional to 899.34, 1,349.17 and 460.88

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Solution

The fourth proportional to 899.34, 1,349.17 and 460.88 is: 691.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.34 : 1,349.17 = 460.88 : x
  2. Step 2: Convert to fraction form
    899.34/1,349.17 = 460.88/x
  3. Step 3: Cross multiply
    899.34x = 1,349.17 × 460.88
  4. Step 4: Simplify right side
    899.34x = 621,805.47
  5. Step 5: Solve for x
    x = 621,805.47/899.34
  6. Step 6: Final answer
    x = 691.40

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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.