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Finding the Fourth Proportional to 1,734.97, 2,603.48 and 640.09

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Solution

The fourth proportional to 1,734.97, 2,603.48 and 640.09 is: 960.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,734.97 : 2,603.48 = 640.09 : x
  2. Step 2: Convert to fraction form
    1,734.97/2,603.48 = 640.09/x
  3. Step 3: Cross multiply
    1,734.97x = 2,603.48 × 640.09
  4. Step 4: Simplify right side
    1,734.97x = 1,666,461.51
  5. Step 5: Solve for x
    x = 1,666,461.51/1,734.97
  6. Step 6: Final answer
    x = 960.51

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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.