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Finding the Fourth Proportional to 775.46, 1,164.70 and 602.47

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Solution

The fourth proportional to 775.46, 1,164.70 and 602.47 is: 904.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.46 : 1,164.70 = 602.47 : x
  2. Step 2: Convert to fraction form
    775.46/1,164.70 = 602.47/x
  3. Step 3: Cross multiply
    775.46x = 1,164.70 × 602.47
  4. Step 4: Simplify right side
    775.46x = 701,696.81
  5. Step 5: Solve for x
    x = 701,696.81/775.46
  6. Step 6: Final answer
    x = 904.88

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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.