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Finding the Fourth Proportional to 1,389.83, 1,916.70 and 917.39

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Solution

The fourth proportional to 1,389.83, 1,916.70 and 917.39 is: 1,265.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.83 : 1,916.70 = 917.39 : x
  2. Step 2: Convert to fraction form
    1,389.83/1,916.70 = 917.39/x
  3. Step 3: Cross multiply
    1,389.83x = 1,916.70 × 917.39
  4. Step 4: Simplify right side
    1,389.83x = 1,758,361.41
  5. Step 5: Solve for x
    x = 1,758,361.41/1,389.83
  6. Step 6: Final answer
    x = 1,265.16

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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.