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Finding the Fourth Proportional to 1,412.23, 1,948.08 and 852.37

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Solution

The fourth proportional to 1,412.23, 1,948.08 and 852.37 is: 1,175.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.23 : 1,948.08 = 852.37 : x
  2. Step 2: Convert to fraction form
    1,412.23/1,948.08 = 852.37/x
  3. Step 3: Cross multiply
    1,412.23x = 1,948.08 × 852.37
  4. Step 4: Simplify right side
    1,412.23x = 1,660,484.95
  5. Step 5: Solve for x
    x = 1,660,484.95/1,412.23
  6. Step 6: Final answer
    x = 1,175.79

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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.