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Finding the Fourth Proportional to 899.03, 1,346.93 and 436.15

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Solution

The fourth proportional to 899.03, 1,346.93 and 436.15 is: 653.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.03 : 1,346.93 = 436.15 : x
  2. Step 2: Convert to fraction form
    899.03/1,346.93 = 436.15/x
  3. Step 3: Cross multiply
    899.03x = 1,346.93 × 436.15
  4. Step 4: Simplify right side
    899.03x = 587,464.66
  5. Step 5: Solve for x
    x = 587,464.66/899.03
  6. Step 6: Final answer
    x = 653.44

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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.