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Finding the Fourth Proportional to 1,388.46, 1,915.74 and 864.12

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Solution

The fourth proportional to 1,388.46, 1,915.74 and 864.12 is: 1,192.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,388.46 : 1,915.74 = 864.12 : x
  2. Step 2: Convert to fraction form
    1,388.46/1,915.74 = 864.12/x
  3. Step 3: Cross multiply
    1,388.46x = 1,915.74 × 864.12
  4. Step 4: Simplify right side
    1,388.46x = 1,655,429.25
  5. Step 5: Solve for x
    x = 1,655,429.25/1,388.46
  6. Step 6: Final answer
    x = 1,192.28

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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.