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Finding the Fourth Proportional to 1,277.04, 1,915.54 and 699.60

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Solution

The fourth proportional to 1,277.04, 1,915.54 and 699.60 is: 1,049.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.04 : 1,915.54 = 699.60 : x
  2. Step 2: Convert to fraction form
    1,277.04/1,915.54 = 699.60/x
  3. Step 3: Cross multiply
    1,277.04x = 1,915.54 × 699.60
  4. Step 4: Simplify right side
    1,277.04x = 1,340,111.78
  5. Step 5: Solve for x
    x = 1,340,111.78/1,277.04
  6. Step 6: Final answer
    x = 1,049.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.