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Finding the Fourth Proportional to 1,408.46, 2,111.12 and 714.14

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Solution

The fourth proportional to 1,408.46, 2,111.12 and 714.14 is: 1,070.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.46 : 2,111.12 = 714.14 : x
  2. Step 2: Convert to fraction form
    1,408.46/2,111.12 = 714.14/x
  3. Step 3: Cross multiply
    1,408.46x = 2,111.12 × 714.14
  4. Step 4: Simplify right side
    1,408.46x = 1,507,642.30
  5. Step 5: Solve for x
    x = 1,507,642.30/1,408.46
  6. Step 6: Final answer
    x = 1,070.42

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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.