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Finding the Fourth Proportional to 767.77, 1,057.50 and 590.39

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Solution

The fourth proportional to 767.77, 1,057.50 and 590.39 is: 813.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.77 : 1,057.50 = 590.39 : x
  2. Step 2: Convert to fraction form
    767.77/1,057.50 = 590.39/x
  3. Step 3: Cross multiply
    767.77x = 1,057.50 × 590.39
  4. Step 4: Simplify right side
    767.77x = 624,337.43
  5. Step 5: Solve for x
    x = 624,337.43/767.77
  6. Step 6: Final answer
    x = 813.18

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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.