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Finding the Fourth Proportional to 1,247.99, 1,871.57 and 589.77

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Solution

The fourth proportional to 1,247.99, 1,871.57 and 589.77 is: 884.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247.99 : 1,871.57 = 589.77 : x
  2. Step 2: Convert to fraction form
    1,247.99/1,871.57 = 589.77/x
  3. Step 3: Cross multiply
    1,247.99x = 1,871.57 × 589.77
  4. Step 4: Simplify right side
    1,247.99x = 1,103,797.31
  5. Step 5: Solve for x
    x = 1,103,797.31/1,247.99
  6. Step 6: Final answer
    x = 884.46

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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.