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Finding the Fourth Proportional to 931.53, 1,396.26 and 829.01

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Solution

The fourth proportional to 931.53, 1,396.26 and 829.01 is: 1,242.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.53 : 1,396.26 = 829.01 : x
  2. Step 2: Convert to fraction form
    931.53/1,396.26 = 829.01/x
  3. Step 3: Cross multiply
    931.53x = 1,396.26 × 829.01
  4. Step 4: Simplify right side
    931.53x = 1,157,515.40
  5. Step 5: Solve for x
    x = 1,157,515.40/931.53
  6. Step 6: Final answer
    x = 1,242.60

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Why These Related Problems?

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