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Finding the Fourth Proportional to 1,063.82, 1,468.17 and 621.69

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Solution

The fourth proportional to 1,063.82, 1,468.17 and 621.69 is: 857.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063.82 : 1,468.17 = 621.69 : x
  2. Step 2: Convert to fraction form
    1,063.82/1,468.17 = 621.69/x
  3. Step 3: Cross multiply
    1,063.82x = 1,468.17 × 621.69
  4. Step 4: Simplify right side
    1,063.82x = 912,746.61
  5. Step 5: Solve for x
    x = 912,746.61/1,063.82
  6. Step 6: Final answer
    x = 857.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.