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Finding the Fourth Proportional to 1,411.82, 2,118.35 and 488.03

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Solution

The fourth proportional to 1,411.82, 2,118.35 and 488.03 is: 732.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.82 : 2,118.35 = 488.03 : x
  2. Step 2: Convert to fraction form
    1,411.82/2,118.35 = 488.03/x
  3. Step 3: Cross multiply
    1,411.82x = 2,118.35 × 488.03
  4. Step 4: Simplify right side
    1,411.82x = 1,033,818.35
  5. Step 5: Solve for x
    x = 1,033,818.35/1,411.82
  6. Step 6: Final answer
    x = 732.26

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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.