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Finding the Fourth Proportional to 890.46, 1,234.53 and 841.32

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Solution

The fourth proportional to 890.46, 1,234.53 and 841.32 is: 1,166.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.46 : 1,234.53 = 841.32 : x
  2. Step 2: Convert to fraction form
    890.46/1,234.53 = 841.32/x
  3. Step 3: Cross multiply
    890.46x = 1,234.53 × 841.32
  4. Step 4: Simplify right side
    890.46x = 1,038,634.78
  5. Step 5: Solve for x
    x = 1,038,634.78/890.46
  6. Step 6: Final answer
    x = 1,166.40

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.