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Finding the Fourth Proportional to 1,200.46, 1,656.64 and 703.11

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Solution

The fourth proportional to 1,200.46, 1,656.64 and 703.11 is: 970.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.46 : 1,656.64 = 703.11 : x
  2. Step 2: Convert to fraction form
    1,200.46/1,656.64 = 703.11/x
  3. Step 3: Cross multiply
    1,200.46x = 1,656.64 × 703.11
  4. Step 4: Simplify right side
    1,200.46x = 1,164,791.87
  5. Step 5: Solve for x
    x = 1,164,791.87/1,200.46
  6. Step 6: Final answer
    x = 970.29

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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.