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Finding the Fourth Proportional to 977.31, 1,467.11 and 772.02

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Solution

The fourth proportional to 977.31, 1,467.11 and 772.02 is: 1,158.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.31 : 1,467.11 = 772.02 : x
  2. Step 2: Convert to fraction form
    977.31/1,467.11 = 772.02/x
  3. Step 3: Cross multiply
    977.31x = 1,467.11 × 772.02
  4. Step 4: Simplify right side
    977.31x = 1,132,638.26
  5. Step 5: Solve for x
    x = 1,132,638.26/977.31
  6. Step 6: Final answer
    x = 1,158.93

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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.