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Finding the Fourth Proportional to 1,771.04, 2,656.55 and 538.45

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Solution

The fourth proportional to 1,771.04, 2,656.55 and 538.45 is: 807.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,771.04 : 2,656.55 = 538.45 : x
  2. Step 2: Convert to fraction form
    1,771.04/2,656.55 = 538.45/x
  3. Step 3: Cross multiply
    1,771.04x = 2,656.55 × 538.45
  4. Step 4: Simplify right side
    1,771.04x = 1,430,414.05
  5. Step 5: Solve for x
    x = 1,430,414.05/1,771.04
  6. Step 6: Final answer
    x = 807.67

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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.