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Finding the Fourth Proportional to 1,277.04, 1,915.35 and 399.57

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Solution

The fourth proportional to 1,277.04, 1,915.35 and 399.57 is: 599.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.04 : 1,915.35 = 399.57 : x
  2. Step 2: Convert to fraction form
    1,277.04/1,915.35 = 399.57/x
  3. Step 3: Cross multiply
    1,277.04x = 1,915.35 × 399.57
  4. Step 4: Simplify right side
    1,277.04x = 765,316.40
  5. Step 5: Solve for x
    x = 765,316.40/1,277.04
  6. Step 6: Final answer
    x = 599.29

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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.