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Finding the Fourth Proportional to 976.19, 1,347.89 and 645.07

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Solution

The fourth proportional to 976.19, 1,347.89 and 645.07 is: 890.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.19 : 1,347.89 = 645.07 : x
  2. Step 2: Convert to fraction form
    976.19/1,347.89 = 645.07/x
  3. Step 3: Cross multiply
    976.19x = 1,347.89 × 645.07
  4. Step 4: Simplify right side
    976.19x = 869,483.40
  5. Step 5: Solve for x
    x = 869,483.40/976.19
  6. Step 6: Final answer
    x = 890.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.