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Finding the Fourth Proportional to 1,380.59, 1,903.23 and 986.93

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Solution

The fourth proportional to 1,380.59, 1,903.23 and 986.93 is: 1,360.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.59 : 1,903.23 = 986.93 : x
  2. Step 2: Convert to fraction form
    1,380.59/1,903.23 = 986.93/x
  3. Step 3: Cross multiply
    1,380.59x = 1,903.23 × 986.93
  4. Step 4: Simplify right side
    1,380.59x = 1,878,363.11
  5. Step 5: Solve for x
    x = 1,878,363.11/1,380.59
  6. Step 6: Final answer
    x = 1,360.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.