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Finding the Fourth Proportional to 780.93, 1,077.65 and 431.61

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Solution

The fourth proportional to 780.93, 1,077.65 and 431.61 is: 595.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.93 : 1,077.65 = 431.61 : x
  2. Step 2: Convert to fraction form
    780.93/1,077.65 = 431.61/x
  3. Step 3: Cross multiply
    780.93x = 1,077.65 × 431.61
  4. Step 4: Simplify right side
    780.93x = 465,122.36
  5. Step 5: Solve for x
    x = 465,122.36/780.93
  6. Step 6: Final answer
    x = 595.60

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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.