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Finding the Fourth Proportional to 1,038.18, 1,557.56 and 379.99

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Solution

The fourth proportional to 1,038.18, 1,557.56 and 379.99 is: 570.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.18 : 1,557.56 = 379.99 : x
  2. Step 2: Convert to fraction form
    1,038.18/1,557.56 = 379.99/x
  3. Step 3: Cross multiply
    1,038.18x = 1,557.56 × 379.99
  4. Step 4: Simplify right side
    1,038.18x = 591,857.22
  5. Step 5: Solve for x
    x = 591,857.22/1,038.18
  6. Step 6: Final answer
    x = 570.09

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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.