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Finding the Fourth Proportional to 966.65, 1,334.34 and 613.08

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Solution

The fourth proportional to 966.65, 1,334.34 and 613.08 is: 846.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.65 : 1,334.34 = 613.08 : x
  2. Step 2: Convert to fraction form
    966.65/1,334.34 = 613.08/x
  3. Step 3: Cross multiply
    966.65x = 1,334.34 × 613.08
  4. Step 4: Simplify right side
    966.65x = 818,057.17
  5. Step 5: Solve for x
    x = 818,057.17/966.65
  6. Step 6: Final answer
    x = 846.29

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Why These Related Problems?

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