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Finding the Fourth Proportional to 1,426.63, 1,968.77 and 837.18

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Solution

The fourth proportional to 1,426.63, 1,968.77 and 837.18 is: 1,155.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.63 : 1,968.77 = 837.18 : x
  2. Step 2: Convert to fraction form
    1,426.63/1,968.77 = 837.18/x
  3. Step 3: Cross multiply
    1,426.63x = 1,968.77 × 837.18
  4. Step 4: Simplify right side
    1,426.63x = 1,648,214.87
  5. Step 5: Solve for x
    x = 1,648,214.87/1,426.63
  6. Step 6: Final answer
    x = 1,155.32

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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.