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Finding the Fourth Proportional to 1,389.93, 1,916.64 and 865.05

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Solution

The fourth proportional to 1,389.93, 1,916.64 and 865.05 is: 1,192.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.93 : 1,916.64 = 865.05 : x
  2. Step 2: Convert to fraction form
    1,389.93/1,916.64 = 865.05/x
  3. Step 3: Cross multiply
    1,389.93x = 1,916.64 × 865.05
  4. Step 4: Simplify right side
    1,389.93x = 1,657,989.43
  5. Step 5: Solve for x
    x = 1,657,989.43/1,389.93
  6. Step 6: Final answer
    x = 1,192.86

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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.