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Finding the Fourth Proportional to 1,383, 1,910.16 and 916.44

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Solution

The fourth proportional to 1,383, 1,910.16 and 916.44 is: 1,265.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383 : 1,910.16 = 916.44 : x
  2. Step 2: Convert to fraction form
    1,383/1,910.16 = 916.44/x
  3. Step 3: Cross multiply
    1,383x = 1,910.16 × 916.44
  4. Step 4: Simplify right side
    1,383x = 1,750,547.03
  5. Step 5: Solve for x
    x = 1,750,547.03/1,383
  6. Step 6: Final answer
    x = 1,265.76

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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.