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Finding the Fourth Proportional to 1,435.14, 1,979.71 and 987.05

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Solution

The fourth proportional to 1,435.14, 1,979.71 and 987.05 is: 1,361.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.14 : 1,979.71 = 987.05 : x
  2. Step 2: Convert to fraction form
    1,435.14/1,979.71 = 987.05/x
  3. Step 3: Cross multiply
    1,435.14x = 1,979.71 × 987.05
  4. Step 4: Simplify right side
    1,435.14x = 1,954,075.24
  5. Step 5: Solve for x
    x = 1,954,075.24/1,435.14
  6. Step 6: Final answer
    x = 1,361.59

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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.