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Finding the Fourth Proportional to 1,038.26, 1,557.12 and 490.30

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Solution

The fourth proportional to 1,038.26, 1,557.12 and 490.30 is: 735.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.26 : 1,557.12 = 490.30 : x
  2. Step 2: Convert to fraction form
    1,038.26/1,557.12 = 490.30/x
  3. Step 3: Cross multiply
    1,038.26x = 1,557.12 × 490.30
  4. Step 4: Simplify right side
    1,038.26x = 763,455.94
  5. Step 5: Solve for x
    x = 763,455.94/1,038.26
  6. Step 6: Final answer
    x = 735.32

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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.