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Finding the Fourth Proportional to 1,283.09, 1,916.91 and 816.93

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Solution

The fourth proportional to 1,283.09, 1,916.91 and 816.93 is: 1,220.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.09 : 1,916.91 = 816.93 : x
  2. Step 2: Convert to fraction form
    1,283.09/1,916.91 = 816.93/x
  3. Step 3: Cross multiply
    1,283.09x = 1,916.91 × 816.93
  4. Step 4: Simplify right side
    1,283.09x = 1,565,981.29
  5. Step 5: Solve for x
    x = 1,565,981.29/1,283.09
  6. Step 6: Final answer
    x = 1,220.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.