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Finding the Fourth Proportional to 899.86, 1,347.97 and 436.26

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Solution

The fourth proportional to 899.86, 1,347.97 and 436.26 is: 653.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.86 : 1,347.97 = 436.26 : x
  2. Step 2: Convert to fraction form
    899.86/1,347.97 = 436.26/x
  3. Step 3: Cross multiply
    899.86x = 1,347.97 × 436.26
  4. Step 4: Simplify right side
    899.86x = 588,065.16
  5. Step 5: Solve for x
    x = 588,065.16/899.86
  6. Step 6: Final answer
    x = 653.51

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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.