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Finding the Fourth Proportional to 1,137.98, 1,570.80 and 689.87

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Solution

The fourth proportional to 1,137.98, 1,570.80 and 689.87 is: 952.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.98 : 1,570.80 = 689.87 : x
  2. Step 2: Convert to fraction form
    1,137.98/1,570.80 = 689.87/x
  3. Step 3: Cross multiply
    1,137.98x = 1,570.80 × 689.87
  4. Step 4: Simplify right side
    1,137.98x = 1,083,654.31
  5. Step 5: Solve for x
    x = 1,083,654.31/1,137.98
  6. Step 6: Final answer
    x = 952.26

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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.