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Finding the Fourth Proportional to 899.83, 1,238.64 and 775.90

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Solution

The fourth proportional to 899.83, 1,238.64 and 775.90 is: 1,068.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.83 : 1,238.64 = 775.90 : x
  2. Step 2: Convert to fraction form
    899.83/1,238.64 = 775.90/x
  3. Step 3: Cross multiply
    899.83x = 1,238.64 × 775.90
  4. Step 4: Simplify right side
    899.83x = 961,054.58
  5. Step 5: Solve for x
    x = 961,054.58/899.83
  6. Step 6: Final answer
    x = 1,068.05

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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.