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Finding the Fourth Proportional to 1,038.99, 1,557.19 and 519.14

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Solution

The fourth proportional to 1,038.99, 1,557.19 and 519.14 is: 778.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.99 : 1,557.19 = 519.14 : x
  2. Step 2: Convert to fraction form
    1,038.99/1,557.19 = 519.14/x
  3. Step 3: Cross multiply
    1,038.99x = 1,557.19 × 519.14
  4. Step 4: Simplify right side
    1,038.99x = 808,398.32
  5. Step 5: Solve for x
    x = 808,398.32/1,038.99
  6. Step 6: Final answer
    x = 778.06

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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.