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Finding the Fourth Proportional to 1,397.55, 1,928.05 and 838.03

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Solution

The fourth proportional to 1,397.55, 1,928.05 and 838.03 is: 1,156.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.55 : 1,928.05 = 838.03 : x
  2. Step 2: Convert to fraction form
    1,397.55/1,928.05 = 838.03/x
  3. Step 3: Cross multiply
    1,397.55x = 1,928.05 × 838.03
  4. Step 4: Simplify right side
    1,397.55x = 1,615,763.74
  5. Step 5: Solve for x
    x = 1,615,763.74/1,397.55
  6. Step 6: Final answer
    x = 1,156.14

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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.