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Finding the Fourth Proportional to 926.87, 1,390.69 and 406.60

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Solution

The fourth proportional to 926.87, 1,390.69 and 406.60 is: 610.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.87 : 1,390.69 = 406.60 : x
  2. Step 2: Convert to fraction form
    926.87/1,390.69 = 406.60/x
  3. Step 3: Cross multiply
    926.87x = 1,390.69 × 406.60
  4. Step 4: Simplify right side
    926.87x = 565,454.55
  5. Step 5: Solve for x
    x = 565,454.55/926.87
  6. Step 6: Final answer
    x = 610.07

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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.