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Finding the Fourth Proportional to 1,213.87, 1,674.93 and 690.01

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Solution

The fourth proportional to 1,213.87, 1,674.93 and 690.01 is: 952.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.87 : 1,674.93 = 690.01 : x
  2. Step 2: Convert to fraction form
    1,213.87/1,674.93 = 690.01/x
  3. Step 3: Cross multiply
    1,213.87x = 1,674.93 × 690.01
  4. Step 4: Simplify right side
    1,213.87x = 1,155,718.45
  5. Step 5: Solve for x
    x = 1,155,718.45/1,213.87
  6. Step 6: Final answer
    x = 952.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.