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Finding the Fourth Proportional to 977.13, 1,347.94 and 662.41

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Solution

The fourth proportional to 977.13, 1,347.94 and 662.41 is: 913.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.13 : 1,347.94 = 662.41 : x
  2. Step 2: Convert to fraction form
    977.13/1,347.94 = 662.41/x
  3. Step 3: Cross multiply
    977.13x = 1,347.94 × 662.41
  4. Step 4: Simplify right side
    977.13x = 892,888.94
  5. Step 5: Solve for x
    x = 892,888.94/977.13
  6. Step 6: Final answer
    x = 913.79

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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.