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Finding the Fourth Proportional to 1,184.26, 1,632.06 and 852.11

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Solution

The fourth proportional to 1,184.26, 1,632.06 and 852.11 is: 1,174.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.26 : 1,632.06 = 852.11 : x
  2. Step 2: Convert to fraction form
    1,184.26/1,632.06 = 852.11/x
  3. Step 3: Cross multiply
    1,184.26x = 1,632.06 × 852.11
  4. Step 4: Simplify right side
    1,184.26x = 1,390,694.65
  5. Step 5: Solve for x
    x = 1,390,694.65/1,184.26
  6. Step 6: Final answer
    x = 1,174.32

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1.5x scale

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.