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Finding the Fourth Proportional to 1,354.26, 2,030.31 and 623.46

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Solution

The fourth proportional to 1,354.26, 2,030.31 and 623.46 is: 934.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.26 : 2,030.31 = 623.46 : x
  2. Step 2: Convert to fraction form
    1,354.26/2,030.31 = 623.46/x
  3. Step 3: Cross multiply
    1,354.26x = 2,030.31 × 623.46
  4. Step 4: Simplify right side
    1,354.26x = 1,265,817.07
  5. Step 5: Solve for x
    x = 1,265,817.07/1,354.26
  6. Step 6: Final answer
    x = 934.69

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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.