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Finding the Fourth Proportional to 1,389.43, 1,915.95 and 864.55

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Solution

The fourth proportional to 1,389.43, 1,915.95 and 864.55 is: 1,192.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.43 : 1,915.95 = 864.55 : x
  2. Step 2: Convert to fraction form
    1,389.43/1,915.95 = 864.55/x
  3. Step 3: Cross multiply
    1,389.43x = 1,915.95 × 864.55
  4. Step 4: Simplify right side
    1,389.43x = 1,656,434.57
  5. Step 5: Solve for x
    x = 1,656,434.57/1,389.43
  6. Step 6: Final answer
    x = 1,192.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.