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Finding the Fourth Proportional to 1,126.06, 1,689.40 and 639.46

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Solution

The fourth proportional to 1,126.06, 1,689.40 and 639.46 is: 959.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.06 : 1,689.40 = 639.46 : x
  2. Step 2: Convert to fraction form
    1,126.06/1,689.40 = 639.46/x
  3. Step 3: Cross multiply
    1,126.06x = 1,689.40 × 639.46
  4. Step 4: Simplify right side
    1,126.06x = 1,080,303.72
  5. Step 5: Solve for x
    x = 1,080,303.72/1,126.06
  6. Step 6: Final answer
    x = 959.37

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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.