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Finding the Fourth Proportional to 780.87, 1,077.58 and 431.55

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Solution

The fourth proportional to 780.87, 1,077.58 and 431.55 is: 595.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.87 : 1,077.58 = 431.55 : x
  2. Step 2: Convert to fraction form
    780.87/1,077.58 = 431.55/x
  3. Step 3: Cross multiply
    780.87x = 1,077.58 × 431.55
  4. Step 4: Simplify right side
    780.87x = 465,029.65
  5. Step 5: Solve for x
    x = 465,029.65/780.87
  6. Step 6: Final answer
    x = 595.53

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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.