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Finding the Fourth Proportional to 1,014.37, 1,399.88 and 589.12

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Solution

The fourth proportional to 1,014.37, 1,399.88 and 589.12 is: 813.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.37 : 1,399.88 = 589.12 : x
  2. Step 2: Convert to fraction form
    1,014.37/1,399.88 = 589.12/x
  3. Step 3: Cross multiply
    1,014.37x = 1,399.88 × 589.12
  4. Step 4: Simplify right side
    1,014.37x = 824,687.36
  5. Step 5: Solve for x
    x = 824,687.36/1,014.37
  6. Step 6: Final answer
    x = 813.01

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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.