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Finding the Fourth Proportional to 899.08, 1,237.60 and 775.15

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Solution

The fourth proportional to 899.08, 1,237.60 and 775.15 is: 1,067.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.08 : 1,237.60 = 775.15 : x
  2. Step 2: Convert to fraction form
    899.08/1,237.60 = 775.15/x
  3. Step 3: Cross multiply
    899.08x = 1,237.60 × 775.15
  4. Step 4: Simplify right side
    899.08x = 959,325.64
  5. Step 5: Solve for x
    x = 959,325.64/899.08
  6. Step 6: Final answer
    x = 1,067.01

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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.