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Finding the Fourth Proportional to 1,387.18, 1,914.30 and 797.72

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Solution

The fourth proportional to 1,387.18, 1,914.30 and 797.72 is: 1,100.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387.18 : 1,914.30 = 797.72 : x
  2. Step 2: Convert to fraction form
    1,387.18/1,914.30 = 797.72/x
  3. Step 3: Cross multiply
    1,387.18x = 1,914.30 × 797.72
  4. Step 4: Simplify right side
    1,387.18x = 1,527,075.40
  5. Step 5: Solve for x
    x = 1,527,075.40/1,387.18
  6. Step 6: Final answer
    x = 1,100.85

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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.