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Finding the Fourth Proportional to 780.59, 1,077.35 and 465.75

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Solution

The fourth proportional to 780.59, 1,077.35 and 465.75 is: 642.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.59 : 1,077.35 = 465.75 : x
  2. Step 2: Convert to fraction form
    780.59/1,077.35 = 465.75/x
  3. Step 3: Cross multiply
    780.59x = 1,077.35 × 465.75
  4. Step 4: Simplify right side
    780.59x = 501,773.43
  5. Step 5: Solve for x
    x = 501,773.43/780.59
  6. Step 6: Final answer
    x = 642.82

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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.