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Finding the Fourth Proportional to 966.31, 1,451.42 and 577.07

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Solution

The fourth proportional to 966.31, 1,451.42 and 577.07 is: 866.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.31 : 1,451.42 = 577.07 : x
  2. Step 2: Convert to fraction form
    966.31/1,451.42 = 577.07/x
  3. Step 3: Cross multiply
    966.31x = 1,451.42 × 577.07
  4. Step 4: Simplify right side
    966.31x = 837,570.94
  5. Step 5: Solve for x
    x = 837,570.94/966.31
  6. Step 6: Final answer
    x = 866.77

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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.