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Finding the Fourth Proportional to 779.71, 1,076.49 and 592.87

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Solution

The fourth proportional to 779.71, 1,076.49 and 592.87 is: 818.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.71 : 1,076.49 = 592.87 : x
  2. Step 2: Convert to fraction form
    779.71/1,076.49 = 592.87/x
  3. Step 3: Cross multiply
    779.71x = 1,076.49 × 592.87
  4. Step 4: Simplify right side
    779.71x = 638,218.63
  5. Step 5: Solve for x
    x = 638,218.63/779.71
  6. Step 6: Final answer
    x = 818.53

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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.