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Finding the Fourth Proportional to 1,700.07, 2,550.17 and 467.58

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Solution

The fourth proportional to 1,700.07, 2,550.17 and 467.58 is: 701.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,700.07 : 2,550.17 = 467.58 : x
  2. Step 2: Convert to fraction form
    1,700.07/2,550.17 = 467.58/x
  3. Step 3: Cross multiply
    1,700.07x = 2,550.17 × 467.58
  4. Step 4: Simplify right side
    1,700.07x = 1,192,404.88
  5. Step 5: Solve for x
    x = 1,192,404.88/1,700.07
  6. Step 6: Final answer
    x = 701.38

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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.