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Finding the Fourth Proportional to 899.04, 1,237.22 and 832.08

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Solution

The fourth proportional to 899.04, 1,237.22 and 832.08 is: 1,145.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.04 : 1,237.22 = 832.08 : x
  2. Step 2: Convert to fraction form
    899.04/1,237.22 = 832.08/x
  3. Step 3: Cross multiply
    899.04x = 1,237.22 × 832.08
  4. Step 4: Simplify right side
    899.04x = 1,029,466.02
  5. Step 5: Solve for x
    x = 1,029,466.02/899.04
  6. Step 6: Final answer
    x = 1,145.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.