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Finding the Fourth Proportional to 1,315.88, 1,969.72 and 969.60

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Solution

The fourth proportional to 1,315.88, 1,969.72 and 969.60 is: 1,451.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.88 : 1,969.72 = 969.60 : x
  2. Step 2: Convert to fraction form
    1,315.88/1,969.72 = 969.60/x
  3. Step 3: Cross multiply
    1,315.88x = 1,969.72 × 969.60
  4. Step 4: Simplify right side
    1,315.88x = 1,909,845.47
  5. Step 5: Solve for x
    x = 1,909,845.47/1,315.88
  6. Step 6: Final answer
    x = 1,451.38

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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.