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Finding the Fourth Proportional to 775.46, 1,071.36 and 589.58

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Solution

The fourth proportional to 775.46, 1,071.36 and 589.58 is: 814.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.46 : 1,071.36 = 589.58 : x
  2. Step 2: Convert to fraction form
    775.46/1,071.36 = 589.58/x
  3. Step 3: Cross multiply
    775.46x = 1,071.36 × 589.58
  4. Step 4: Simplify right side
    775.46x = 631,652.43
  5. Step 5: Solve for x
    x = 631,652.43/775.46
  6. Step 6: Final answer
    x = 814.55

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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.