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Finding the Fourth Proportional to 900.59, 1,349.95 and 488.85

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Solution

The fourth proportional to 900.59, 1,349.95 and 488.85 is: 732.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.59 : 1,349.95 = 488.85 : x
  2. Step 2: Convert to fraction form
    900.59/1,349.95 = 488.85/x
  3. Step 3: Cross multiply
    900.59x = 1,349.95 × 488.85
  4. Step 4: Simplify right side
    900.59x = 659,923.06
  5. Step 5: Solve for x
    x = 659,923.06/900.59
  6. Step 6: Final answer
    x = 732.77

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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.