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Finding the Fourth Proportional to 900.63, 1,243.40 and 590.67

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Solution

The fourth proportional to 900.63, 1,243.40 and 590.67 is: 815.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.63 : 1,243.40 = 590.67 : x
  2. Step 2: Convert to fraction form
    900.63/1,243.40 = 590.67/x
  3. Step 3: Cross multiply
    900.63x = 1,243.40 × 590.67
  4. Step 4: Simplify right side
    900.63x = 734,439.08
  5. Step 5: Solve for x
    x = 734,439.08/900.63
  6. Step 6: Final answer
    x = 815.47

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