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Finding the Fourth Proportional to 1,408.80, 2,114.50 and 715.96

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Solution

The fourth proportional to 1,408.80, 2,114.50 and 715.96 is: 1,074.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.80 : 2,114.50 = 715.96 : x
  2. Step 2: Convert to fraction form
    1,408.80/2,114.50 = 715.96/x
  3. Step 3: Cross multiply
    1,408.80x = 2,114.50 × 715.96
  4. Step 4: Simplify right side
    1,408.80x = 1,513,897.42
  5. Step 5: Solve for x
    x = 1,513,897.42/1,408.80
  6. Step 6: Final answer
    x = 1,074.60

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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.