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Finding the Fourth Proportional to 780.99, 1,077.83 and 431.74

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Solution

The fourth proportional to 780.99, 1,077.83 and 431.74 is: 595.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.99 : 1,077.83 = 431.74 : x
  2. Step 2: Convert to fraction form
    780.99/1,077.83 = 431.74/x
  3. Step 3: Cross multiply
    780.99x = 1,077.83 × 431.74
  4. Step 4: Simplify right side
    780.99x = 465,342.32
  5. Step 5: Solve for x
    x = 465,342.32/780.99
  6. Step 6: Final answer
    x = 595.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.