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Finding the Fourth Proportional to 1,408.01, 2,111.47 and 714.38

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Solution

The fourth proportional to 1,408.01, 2,111.47 and 714.38 is: 1,071.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.01 : 2,111.47 = 714.38 : x
  2. Step 2: Convert to fraction form
    1,408.01/2,111.47 = 714.38/x
  3. Step 3: Cross multiply
    1,408.01x = 2,111.47 × 714.38
  4. Step 4: Simplify right side
    1,408.01x = 1,508,379.60
  5. Step 5: Solve for x
    x = 1,508,379.60/1,408.01
  6. Step 6: Final answer
    x = 1,071.29

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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.