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Finding the Fourth Proportional to 686.78, 1,030.56 and 291.43

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Solution

The fourth proportional to 686.78, 1,030.56 and 291.43 is: 437.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.78 : 1,030.56 = 291.43 : x
  2. Step 2: Convert to fraction form
    686.78/1,030.56 = 291.43/x
  3. Step 3: Cross multiply
    686.78x = 1,030.56 × 291.43
  4. Step 4: Simplify right side
    686.78x = 300,333.52
  5. Step 5: Solve for x
    x = 300,333.52/686.78
  6. Step 6: Final answer
    x = 437.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.