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Finding the Fourth Proportional to 1,589.41, 2,384.52 and 858.99

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Solution

The fourth proportional to 1,589.41, 2,384.52 and 858.99 is: 1,288.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.41 : 2,384.52 = 858.99 : x
  2. Step 2: Convert to fraction form
    1,589.41/2,384.52 = 858.99/x
  3. Step 3: Cross multiply
    1,589.41x = 2,384.52 × 858.99
  4. Step 4: Simplify right side
    1,589.41x = 2,048,278.83
  5. Step 5: Solve for x
    x = 2,048,278.83/1,589.41
  6. Step 6: Final answer
    x = 1,288.70

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1.5x scale

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.