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Finding the Fourth Proportional to 934.76, 1,289.62 and 561.60

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Solution

The fourth proportional to 934.76, 1,289.62 and 561.60 is: 774.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.76 : 1,289.62 = 561.60 : x
  2. Step 2: Convert to fraction form
    934.76/1,289.62 = 561.60/x
  3. Step 3: Cross multiply
    934.76x = 1,289.62 × 561.60
  4. Step 4: Simplify right side
    934.76x = 724,250.59
  5. Step 5: Solve for x
    x = 724,250.59/934.76
  6. Step 6: Final answer
    x = 774.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.