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Finding the Fourth Proportional to 1,411.48, 2,118.44 and 546.40

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Solution

The fourth proportional to 1,411.48, 2,118.44 and 546.40 is: 820.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.48 : 2,118.44 = 546.40 : x
  2. Step 2: Convert to fraction form
    1,411.48/2,118.44 = 546.40/x
  3. Step 3: Cross multiply
    1,411.48x = 2,118.44 × 546.40
  4. Step 4: Simplify right side
    1,411.48x = 1,157,515.62
  5. Step 5: Solve for x
    x = 1,157,515.62/1,411.48
  6. Step 6: Final answer
    x = 820.07

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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.