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Finding the Fourth Proportional to 1,036.94, 1,431.35 and 687.74

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Solution

The fourth proportional to 1,036.94, 1,431.35 and 687.74 is: 949.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.94 : 1,431.35 = 687.74 : x
  2. Step 2: Convert to fraction form
    1,036.94/1,431.35 = 687.74/x
  3. Step 3: Cross multiply
    1,036.94x = 1,431.35 × 687.74
  4. Step 4: Simplify right side
    1,036.94x = 984,386.05
  5. Step 5: Solve for x
    x = 984,386.05/1,036.94
  6. Step 6: Final answer
    x = 949.32

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Why These Related Problems?

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