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Finding the Fourth Proportional to 966.02, 1,446.51 and 678.02

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Solution

The fourth proportional to 966.02, 1,446.51 and 678.02 is: 1,015.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.02 : 1,446.51 = 678.02 : x
  2. Step 2: Convert to fraction form
    966.02/1,446.51 = 678.02/x
  3. Step 3: Cross multiply
    966.02x = 1,446.51 × 678.02
  4. Step 4: Simplify right side
    966.02x = 980,762.71
  5. Step 5: Solve for x
    x = 980,762.71/966.02
  6. Step 6: Final answer
    x = 1,015.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.