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Finding the Fourth Proportional to 983.65, 1,356.74 and 634

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Solution

The fourth proportional to 983.65, 1,356.74 and 634 is: 874.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.65 : 1,356.74 = 634 : x
  2. Step 2: Convert to fraction form
    983.65/1,356.74 = 634/x
  3. Step 3: Cross multiply
    983.65x = 1,356.74 × 634
  4. Step 4: Simplify right side
    983.65x = 860,169.99
  5. Step 5: Solve for x
    x = 860,169.99/983.65
  6. Step 6: Final answer
    x = 874.47

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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.