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Finding the Fourth Proportional to 771.40, 1,154.40 and 528.40

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Solution

The fourth proportional to 771.40, 1,154.40 and 528.40 is: 790.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.40 : 1,154.40 = 528.40 : x
  2. Step 2: Convert to fraction form
    771.40/1,154.40 = 528.40/x
  3. Step 3: Cross multiply
    771.40x = 1,154.40 × 528.40
  4. Step 4: Simplify right side
    771.40x = 609,984.96
  5. Step 5: Solve for x
    x = 609,984.96/771.40
  6. Step 6: Final answer
    x = 790.75

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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.