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Finding the Fourth Proportional to 926.51, 1,390.45 and 439.57

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Solution

The fourth proportional to 926.51, 1,390.45 and 439.57 is: 659.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.51 : 1,390.45 = 439.57 : x
  2. Step 2: Convert to fraction form
    926.51/1,390.45 = 439.57/x
  3. Step 3: Cross multiply
    926.51x = 1,390.45 × 439.57
  4. Step 4: Simplify right side
    926.51x = 611,193.75
  5. Step 5: Solve for x
    x = 611,193.75/926.51
  6. Step 6: Final answer
    x = 659.67

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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.