Home / 1,590.35-2,383.21-767.66

Finding the Fourth Proportional to 1,590.35, 2,383.21 and 767.66

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Solution

The fourth proportional to 1,590.35, 2,383.21 and 767.66 is: 1,150.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590.35 : 2,383.21 = 767.66 : x
  2. Step 2: Convert to fraction form
    1,590.35/2,383.21 = 767.66/x
  3. Step 3: Cross multiply
    1,590.35x = 2,383.21 × 767.66
  4. Step 4: Simplify right side
    1,590.35x = 1,829,494.99
  5. Step 5: Solve for x
    x = 1,829,494.99/1,590.35
  6. Step 6: Final answer
    x = 1,150.37

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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.