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Finding the Fourth Proportional to 1,095.30, 1,643.34 and 678.33

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Solution

The fourth proportional to 1,095.30, 1,643.34 and 678.33 is: 1,017.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.30 : 1,643.34 = 678.33 : x
  2. Step 2: Convert to fraction form
    1,095.30/1,643.34 = 678.33/x
  3. Step 3: Cross multiply
    1,095.30x = 1,643.34 × 678.33
  4. Step 4: Simplify right side
    1,095.30x = 1,114,726.82
  5. Step 5: Solve for x
    x = 1,114,726.82/1,095.30
  6. Step 6: Final answer
    x = 1,017.74

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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.