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Finding the Fourth Proportional to 1,408.50, 2,112.93 and 678.06

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Solution

The fourth proportional to 1,408.50, 2,112.93 and 678.06 is: 1,017.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.50 : 2,112.93 = 678.06 : x
  2. Step 2: Convert to fraction form
    1,408.50/2,112.93 = 678.06/x
  3. Step 3: Cross multiply
    1,408.50x = 2,112.93 × 678.06
  4. Step 4: Simplify right side
    1,408.50x = 1,432,693.32
  5. Step 5: Solve for x
    x = 1,432,693.32/1,408.50
  6. Step 6: Final answer
    x = 1,017.18

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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.