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Finding the Fourth Proportional to 1,453.64, 2,006.04 and 790.50

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Solution

The fourth proportional to 1,453.64, 2,006.04 and 790.50 is: 1,090.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,453.64 : 2,006.04 = 790.50 : x
  2. Step 2: Convert to fraction form
    1,453.64/2,006.04 = 790.50/x
  3. Step 3: Cross multiply
    1,453.64x = 2,006.04 × 790.50
  4. Step 4: Simplify right side
    1,453.64x = 1,585,774.62
  5. Step 5: Solve for x
    x = 1,585,774.62/1,453.64
  6. Step 6: Final answer
    x = 1,090.90

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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.