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Finding the Fourth Proportional to 1,059.35, 1,589.09 and 442.43

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Solution

The fourth proportional to 1,059.35, 1,589.09 and 442.43 is: 663.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.35 : 1,589.09 = 442.43 : x
  2. Step 2: Convert to fraction form
    1,059.35/1,589.09 = 442.43/x
  3. Step 3: Cross multiply
    1,059.35x = 1,589.09 × 442.43
  4. Step 4: Simplify right side
    1,059.35x = 703,050.93
  5. Step 5: Solve for x
    x = 703,050.93/1,059.35
  6. Step 6: Final answer
    x = 663.67

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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.