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Finding the Fourth Proportional to 976.17, 1,458.97 and 898.33

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Solution

The fourth proportional to 976.17, 1,458.97 and 898.33 is: 1,342.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.17 : 1,458.97 = 898.33 : x
  2. Step 2: Convert to fraction form
    976.17/1,458.97 = 898.33/x
  3. Step 3: Cross multiply
    976.17x = 1,458.97 × 898.33
  4. Step 4: Simplify right side
    976.17x = 1,310,638.77
  5. Step 5: Solve for x
    x = 1,310,638.77/976.17
  6. Step 6: Final answer
    x = 1,342.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.