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Finding the Fourth Proportional to 1,392.42, 2,088.63 and 418.67

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Solution

The fourth proportional to 1,392.42, 2,088.63 and 418.67 is: 628.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,392.42 : 2,088.63 = 418.67 : x
  2. Step 2: Convert to fraction form
    1,392.42/2,088.63 = 418.67/x
  3. Step 3: Cross multiply
    1,392.42x = 2,088.63 × 418.67
  4. Step 4: Simplify right side
    1,392.42x = 874,446.72
  5. Step 5: Solve for x
    x = 874,446.72/1,392.42
  6. Step 6: Final answer
    x = 628.01

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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.