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Finding the Fourth Proportional to 966.71, 1,441.58 and 957.94

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Solution

The fourth proportional to 966.71, 1,441.58 and 957.94 is: 1,428.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.71 : 1,441.58 = 957.94 : x
  2. Step 2: Convert to fraction form
    966.71/1,441.58 = 957.94/x
  3. Step 3: Cross multiply
    966.71x = 1,441.58 × 957.94
  4. Step 4: Simplify right side
    966.71x = 1,380,938.75
  5. Step 5: Solve for x
    x = 1,380,938.75/966.71
  6. Step 6: Final answer
    x = 1,428.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.