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Finding the Fourth Proportional to 1,095.98, 1,643.01 and 412.46

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Solution

The fourth proportional to 1,095.98, 1,643.01 and 412.46 is: 618.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.98 : 1,643.01 = 412.46 : x
  2. Step 2: Convert to fraction form
    1,095.98/1,643.01 = 412.46/x
  3. Step 3: Cross multiply
    1,095.98x = 1,643.01 × 412.46
  4. Step 4: Simplify right side
    1,095.98x = 677,675.90
  5. Step 5: Solve for x
    x = 677,675.90/1,095.98
  6. Step 6: Final answer
    x = 618.33

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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.