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Finding the Fourth Proportional to 1,359.12, 2,038.11 and 421.95

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Solution

The fourth proportional to 1,359.12, 2,038.11 and 421.95 is: 632.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,359.12 : 2,038.11 = 421.95 : x
  2. Step 2: Convert to fraction form
    1,359.12/2,038.11 = 421.95/x
  3. Step 3: Cross multiply
    1,359.12x = 2,038.11 × 421.95
  4. Step 4: Simplify right side
    1,359.12x = 859,980.51
  5. Step 5: Solve for x
    x = 859,980.51/1,359.12
  6. Step 6: Final answer
    x = 632.75

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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.