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Finding the Fourth Proportional to 1,441.74, 1,989.65 and 852.06

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Solution

The fourth proportional to 1,441.74, 1,989.65 and 852.06 is: 1,175.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,441.74 : 1,989.65 = 852.06 : x
  2. Step 2: Convert to fraction form
    1,441.74/1,989.65 = 852.06/x
  3. Step 3: Cross multiply
    1,441.74x = 1,989.65 × 852.06
  4. Step 4: Simplify right side
    1,441.74x = 1,695,301.18
  5. Step 5: Solve for x
    x = 1,695,301.18/1,441.74
  6. Step 6: Final answer
    x = 1,175.87

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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.