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Finding the Fourth Proportional to 1,247.06, 1,868.19 and 697.57

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Solution

The fourth proportional to 1,247.06, 1,868.19 and 697.57 is: 1,045.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247.06 : 1,868.19 = 697.57 : x
  2. Step 2: Convert to fraction form
    1,247.06/1,868.19 = 697.57/x
  3. Step 3: Cross multiply
    1,247.06x = 1,868.19 × 697.57
  4. Step 4: Simplify right side
    1,247.06x = 1,303,189.81
  5. Step 5: Solve for x
    x = 1,303,189.81/1,247.06
  6. Step 6: Final answer
    x = 1,045.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.