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Finding the Fourth Proportional to 1,388.18, 1,915.68 and 758.72

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Solution

The fourth proportional to 1,388.18, 1,915.68 and 758.72 is: 1,047.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,388.18 : 1,915.68 = 758.72 : x
  2. Step 2: Convert to fraction form
    1,388.18/1,915.68 = 758.72/x
  3. Step 3: Cross multiply
    1,388.18x = 1,915.68 × 758.72
  4. Step 4: Simplify right side
    1,388.18x = 1,453,455.15
  5. Step 5: Solve for x
    x = 1,453,455.15/1,388.18
  6. Step 6: Final answer
    x = 1,047.02

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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.