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Finding the Fourth Proportional to 853.63, 1,281.17 and 340.99

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Solution

The fourth proportional to 853.63, 1,281.17 and 340.99 is: 511.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.63 : 1,281.17 = 340.99 : x
  2. Step 2: Convert to fraction form
    853.63/1,281.17 = 340.99/x
  3. Step 3: Cross multiply
    853.63x = 1,281.17 × 340.99
  4. Step 4: Simplify right side
    853.63x = 436,866.16
  5. Step 5: Solve for x
    x = 436,866.16/853.63
  6. Step 6: Final answer
    x = 511.77

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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.