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Finding the Fourth Proportional to 775.02, 1,068.75 and 464.70

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Solution

The fourth proportional to 775.02, 1,068.75 and 464.70 is: 640.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.02 : 1,068.75 = 464.70 : x
  2. Step 2: Convert to fraction form
    775.02/1,068.75 = 464.70/x
  3. Step 3: Cross multiply
    775.02x = 1,068.75 × 464.70
  4. Step 4: Simplify right side
    775.02x = 496,648.13
  5. Step 5: Solve for x
    x = 496,648.13/775.02
  6. Step 6: Final answer
    x = 640.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.