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Finding the Fourth Proportional to 775.46, 1,164.71 and 602.48

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Solution

The fourth proportional to 775.46, 1,164.71 and 602.48 is: 904.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.46 : 1,164.71 = 602.48 : x
  2. Step 2: Convert to fraction form
    775.46/1,164.71 = 602.48/x
  3. Step 3: Cross multiply
    775.46x = 1,164.71 × 602.48
  4. Step 4: Simplify right side
    775.46x = 701,705.64
  5. Step 5: Solve for x
    x = 701,705.64/775.46
  6. Step 6: Final answer
    x = 904.90

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