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Finding the Fourth Proportional to 775.74, 1,164.06 and 592.59

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Solution

The fourth proportional to 775.74, 1,164.06 and 592.59 is: 889.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.74 : 1,164.06 = 592.59 : x
  2. Step 2: Convert to fraction form
    775.74/1,164.06 = 592.59/x
  3. Step 3: Cross multiply
    775.74x = 1,164.06 × 592.59
  4. Step 4: Simplify right side
    775.74x = 689,810.32
  5. Step 5: Solve for x
    x = 689,810.32/775.74
  6. Step 6: Final answer
    x = 889.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.