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Finding the Fourth Proportional to 926.94, 1,390.58 and 561.30

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Solution

The fourth proportional to 926.94, 1,390.58 and 561.30 is: 842.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.94 : 1,390.58 = 561.30 : x
  2. Step 2: Convert to fraction form
    926.94/1,390.58 = 561.30/x
  3. Step 3: Cross multiply
    926.94x = 1,390.58 × 561.30
  4. Step 4: Simplify right side
    926.94x = 780,529.75
  5. Step 5: Solve for x
    x = 780,529.75/926.94
  6. Step 6: Final answer
    x = 842.05

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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.