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Finding the Fourth Proportional to 1,408.63, 1,944.13 and 841.53

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Solution

The fourth proportional to 1,408.63, 1,944.13 and 841.53 is: 1,161.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.63 : 1,944.13 = 841.53 : x
  2. Step 2: Convert to fraction form
    1,408.63/1,944.13 = 841.53/x
  3. Step 3: Cross multiply
    1,408.63x = 1,944.13 × 841.53
  4. Step 4: Simplify right side
    1,408.63x = 1,636,043.72
  5. Step 5: Solve for x
    x = 1,636,043.72/1,408.63
  6. Step 6: Final answer
    x = 1,161.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.