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Finding the Fourth Proportional to 1,312.50, 1,964.66 and 966.23

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Solution

The fourth proportional to 1,312.50, 1,964.66 and 966.23 is: 1,446.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.50 : 1,964.66 = 966.23 : x
  2. Step 2: Convert to fraction form
    1,312.50/1,964.66 = 966.23/x
  3. Step 3: Cross multiply
    1,312.50x = 1,964.66 × 966.23
  4. Step 4: Simplify right side
    1,312.50x = 1,898,306.14
  5. Step 5: Solve for x
    x = 1,898,306.14/1,312.50
  6. Step 6: Final answer
    x = 1,446.32

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1.5x scale

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.