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Finding the Fourth Proportional to 1,515.07, 2,272.60 and 649.99

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Solution

The fourth proportional to 1,515.07, 2,272.60 and 649.99 is: 974.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,515.07 : 2,272.60 = 649.99 : x
  2. Step 2: Convert to fraction form
    1,515.07/2,272.60 = 649.99/x
  3. Step 3: Cross multiply
    1,515.07x = 2,272.60 × 649.99
  4. Step 4: Simplify right side
    1,515.07x = 1,477,155.91
  5. Step 5: Solve for x
    x = 1,477,155.91/1,515.07
  6. Step 6: Final answer
    x = 974.98

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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.