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Finding the Fourth Proportional to 1,690.38, 2,535.49 and 520.33

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Solution

The fourth proportional to 1,690.38, 2,535.49 and 520.33 is: 780.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690.38 : 2,535.49 = 520.33 : x
  2. Step 2: Convert to fraction form
    1,690.38/2,535.49 = 520.33/x
  3. Step 3: Cross multiply
    1,690.38x = 2,535.49 × 520.33
  4. Step 4: Simplify right side
    1,690.38x = 1,319,291.51
  5. Step 5: Solve for x
    x = 1,319,291.51/1,690.38
  6. Step 6: Final answer
    x = 780.47

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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.