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Finding the Fourth Proportional to 1,166.99, 1,758.38 and 966.06

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Solution

The fourth proportional to 1,166.99, 1,758.38 and 966.06 is: 1,455.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.99 : 1,758.38 = 966.06 : x
  2. Step 2: Convert to fraction form
    1,166.99/1,758.38 = 966.06/x
  3. Step 3: Cross multiply
    1,166.99x = 1,758.38 × 966.06
  4. Step 4: Simplify right side
    1,166.99x = 1,698,695.75
  5. Step 5: Solve for x
    x = 1,698,695.75/1,166.99
  6. Step 6: Final answer
    x = 1,455.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.