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Finding the Fourth Proportional to 780.82, 1,077.04 and 500.77

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Solution

The fourth proportional to 780.82, 1,077.04 and 500.77 is: 690.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.82 : 1,077.04 = 500.77 : x
  2. Step 2: Convert to fraction form
    780.82/1,077.04 = 500.77/x
  3. Step 3: Cross multiply
    780.82x = 1,077.04 × 500.77
  4. Step 4: Simplify right side
    780.82x = 539,349.32
  5. Step 5: Solve for x
    x = 539,349.32/780.82
  6. Step 6: Final answer
    x = 690.75

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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.