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Finding the Fourth Proportional to 703.10, 969.85 and 467.06

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Solution

The fourth proportional to 703.10, 969.85 and 467.06 is: 644.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.10 : 969.85 = 467.06 : x
  2. Step 2: Convert to fraction form
    703.10/969.85 = 467.06/x
  3. Step 3: Cross multiply
    703.10x = 969.85 × 467.06
  4. Step 4: Simplify right side
    703.10x = 452,978.14
  5. Step 5: Solve for x
    x = 452,978.14/703.10
  6. Step 6: Final answer
    x = 644.26

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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.