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Finding the Fourth Proportional to 966.61, 1,334.51 and 617.50

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Solution

The fourth proportional to 966.61, 1,334.51 and 617.50 is: 852.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.61 : 1,334.51 = 617.50 : x
  2. Step 2: Convert to fraction form
    966.61/1,334.51 = 617.50/x
  3. Step 3: Cross multiply
    966.61x = 1,334.51 × 617.50
  4. Step 4: Simplify right side
    966.61x = 824,059.93
  5. Step 5: Solve for x
    x = 824,059.93/966.61
  6. Step 6: Final answer
    x = 852.53

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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.