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Finding the Fourth Proportional to 1,700.32, 2,550.82 and 604.65

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Solution

The fourth proportional to 1,700.32, 2,550.82 and 604.65 is: 907.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,700.32 : 2,550.82 = 604.65 : x
  2. Step 2: Convert to fraction form
    1,700.32/2,550.82 = 604.65/x
  3. Step 3: Cross multiply
    1,700.32x = 2,550.82 × 604.65
  4. Step 4: Simplify right side
    1,700.32x = 1,542,357.21
  5. Step 5: Solve for x
    x = 1,542,357.21/1,700.32
  6. Step 6: Final answer
    x = 907.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.