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Finding the Fourth Proportional to 777.29, 1,071.90 and 590.78

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Solution

The fourth proportional to 777.29, 1,071.90 and 590.78 is: 814.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.29 : 1,071.90 = 590.78 : x
  2. Step 2: Convert to fraction form
    777.29/1,071.90 = 590.78/x
  3. Step 3: Cross multiply
    777.29x = 1,071.90 × 590.78
  4. Step 4: Simplify right side
    777.29x = 633,259.76
  5. Step 5: Solve for x
    x = 633,259.76/777.29
  6. Step 6: Final answer
    x = 814.71

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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.