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Finding the Fourth Proportional to 1,461.39, 2,192.08 and 639.44

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Solution

The fourth proportional to 1,461.39, 2,192.08 and 639.44 is: 959.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.39 : 2,192.08 = 639.44 : x
  2. Step 2: Convert to fraction form
    1,461.39/2,192.08 = 639.44/x
  3. Step 3: Cross multiply
    1,461.39x = 2,192.08 × 639.44
  4. Step 4: Simplify right side
    1,461.39x = 1,401,699.30
  5. Step 5: Solve for x
    x = 1,401,699.30/1,461.39
  6. Step 6: Final answer
    x = 959.16

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1.5x scale

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.