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Finding the Fourth Proportional to 670.06, 1,009.75 and 629.02

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Solution

The fourth proportional to 670.06, 1,009.75 and 629.02 is: 947.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.06 : 1,009.75 = 629.02 : x
  2. Step 2: Convert to fraction form
    670.06/1,009.75 = 629.02/x
  3. Step 3: Cross multiply
    670.06x = 1,009.75 × 629.02
  4. Step 4: Simplify right side
    670.06x = 635,152.95
  5. Step 5: Solve for x
    x = 635,152.95/670.06
  6. Step 6: Final answer
    x = 947.90

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.