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Finding the Fourth Proportional to 1,399.03, 1,931.95 and 902.53

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Solution

The fourth proportional to 1,399.03, 1,931.95 and 902.53 is: 1,246.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.03 : 1,931.95 = 902.53 : x
  2. Step 2: Convert to fraction form
    1,399.03/1,931.95 = 902.53/x
  3. Step 3: Cross multiply
    1,399.03x = 1,931.95 × 902.53
  4. Step 4: Simplify right side
    1,399.03x = 1,743,642.83
  5. Step 5: Solve for x
    x = 1,743,642.83/1,399.03
  6. Step 6: Final answer
    x = 1,246.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.