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Finding the Fourth Proportional to 899.15, 1,347.45 and 676.63

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Solution

The fourth proportional to 899.15, 1,347.45 and 676.63 is: 1,013.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.15 : 1,347.45 = 676.63 : x
  2. Step 2: Convert to fraction form
    899.15/1,347.45 = 676.63/x
  3. Step 3: Cross multiply
    899.15x = 1,347.45 × 676.63
  4. Step 4: Simplify right side
    899.15x = 911,730.54
  5. Step 5: Solve for x
    x = 911,730.54/899.15
  6. Step 6: Final answer
    x = 1,013.99

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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.