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Finding the Fourth Proportional to 977.48, 1,466.92 and 734.66

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Solution

The fourth proportional to 977.48, 1,466.92 and 734.66 is: 1,102.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.48 : 1,466.92 = 734.66 : x
  2. Step 2: Convert to fraction form
    977.48/1,466.92 = 734.66/x
  3. Step 3: Cross multiply
    977.48x = 1,466.92 × 734.66
  4. Step 4: Simplify right side
    977.48x = 1,077,687.45
  5. Step 5: Solve for x
    x = 1,077,687.45/977.48
  6. Step 6: Final answer
    x = 1,102.52

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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.