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Finding the Fourth Proportional to 919.58, 1,378.27 and 529.76

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Solution

The fourth proportional to 919.58, 1,378.27 and 529.76 is: 794.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.58 : 1,378.27 = 529.76 : x
  2. Step 2: Convert to fraction form
    919.58/1,378.27 = 529.76/x
  3. Step 3: Cross multiply
    919.58x = 1,378.27 × 529.76
  4. Step 4: Simplify right side
    919.58x = 730,152.32
  5. Step 5: Solve for x
    x = 730,152.32/919.58
  6. Step 6: Final answer
    x = 794.01

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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.