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Finding the Fourth Proportional to 934.23, 1,289.18 and 561.25

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Solution

The fourth proportional to 934.23, 1,289.18 and 561.25 is: 774.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.23 : 1,289.18 = 561.25 : x
  2. Step 2: Convert to fraction form
    934.23/1,289.18 = 561.25/x
  3. Step 3: Cross multiply
    934.23x = 1,289.18 × 561.25
  4. Step 4: Simplify right side
    934.23x = 723,543.02
  5. Step 5: Solve for x
    x = 723,543.02/934.23
  6. Step 6: Final answer
    x = 774.48

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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.