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Finding the Fourth Proportional to 686.07, 1,026.27 and 562.95

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Solution

The fourth proportional to 686.07, 1,026.27 and 562.95 is: 842.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.07 : 1,026.27 = 562.95 : x
  2. Step 2: Convert to fraction form
    686.07/1,026.27 = 562.95/x
  3. Step 3: Cross multiply
    686.07x = 1,026.27 × 562.95
  4. Step 4: Simplify right side
    686.07x = 577,738.70
  5. Step 5: Solve for x
    x = 577,738.70/686.07
  6. Step 6: Final answer
    x = 842.10

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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.