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Finding the Fourth Proportional to 780.75, 1,077.51 and 431.51

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Solution

The fourth proportional to 780.75, 1,077.51 and 431.51 is: 595.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.75 : 1,077.51 = 431.51 : x
  2. Step 2: Convert to fraction form
    780.75/1,077.51 = 431.51/x
  3. Step 3: Cross multiply
    780.75x = 1,077.51 × 431.51
  4. Step 4: Simplify right side
    780.75x = 464,950.95
  5. Step 5: Solve for x
    x = 464,950.95/780.75
  6. Step 6: Final answer
    x = 595.52

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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.