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Finding the Fourth Proportional to 1,408.97, 2,113.55 and 435.17

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Solution

The fourth proportional to 1,408.97, 2,113.55 and 435.17 is: 652.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.97 : 2,113.55 = 435.17 : x
  2. Step 2: Convert to fraction form
    1,408.97/2,113.55 = 435.17/x
  3. Step 3: Cross multiply
    1,408.97x = 2,113.55 × 435.17
  4. Step 4: Simplify right side
    1,408.97x = 919,751.38
  5. Step 5: Solve for x
    x = 919,751.38/1,408.97
  6. Step 6: Final answer
    x = 652.78

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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.