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Finding the Fourth Proportional to 1,345.23, 2,017.28 and 420.54

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Solution

The fourth proportional to 1,345.23, 2,017.28 and 420.54 is: 630.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,345.23 : 2,017.28 = 420.54 : x
  2. Step 2: Convert to fraction form
    1,345.23/2,017.28 = 420.54/x
  3. Step 3: Cross multiply
    1,345.23x = 2,017.28 × 420.54
  4. Step 4: Simplify right side
    1,345.23x = 848,350.58
  5. Step 5: Solve for x
    x = 848,350.58/1,345.23
  6. Step 6: Final answer
    x = 630.63

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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.