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Finding the Fourth Proportional to 1,038.36, 1,431.84 and 689.16

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Solution

The fourth proportional to 1,038.36, 1,431.84 and 689.16 is: 950.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.36 : 1,431.84 = 689.16 : x
  2. Step 2: Convert to fraction form
    1,038.36/1,431.84 = 689.16/x
  3. Step 3: Cross multiply
    1,038.36x = 1,431.84 × 689.16
  4. Step 4: Simplify right side
    1,038.36x = 986,766.85
  5. Step 5: Solve for x
    x = 986,766.85/1,038.36
  6. Step 6: Final answer
    x = 950.31

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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.