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Finding the Fourth Proportional to 1,223.09, 1,685.01 and 1,000.74

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Solution

The fourth proportional to 1,223.09, 1,685.01 and 1,000.74 is: 1,378.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.09 : 1,685.01 = 1,000.74 : x
  2. Step 2: Convert to fraction form
    1,223.09/1,685.01 = 1,000.74/x
  3. Step 3: Cross multiply
    1,223.09x = 1,685.01 × 1,000.74
  4. Step 4: Simplify right side
    1,223.09x = 1,686,266.98
  5. Step 5: Solve for x
    x = 1,686,266.98/1,223.09
  6. Step 6: Final answer
    x = 1,378.70

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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.