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Finding the Fourth Proportional to 900.05, 1,349.26 and 465.89

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Solution

The fourth proportional to 900.05, 1,349.26 and 465.89 is: 698.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.05 : 1,349.26 = 465.89 : x
  2. Step 2: Convert to fraction form
    900.05/1,349.26 = 465.89/x
  3. Step 3: Cross multiply
    900.05x = 1,349.26 × 465.89
  4. Step 4: Simplify right side
    900.05x = 628,598.83
  5. Step 5: Solve for x
    x = 628,598.83/900.05
  6. Step 6: Final answer
    x = 698.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.