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Finding the Fourth Proportional to 1,141.40, 1,573.82 and 843.08

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Solution

The fourth proportional to 1,141.40, 1,573.82 and 843.08 is: 1,162.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.40 : 1,573.82 = 843.08 : x
  2. Step 2: Convert to fraction form
    1,141.40/1,573.82 = 843.08/x
  3. Step 3: Cross multiply
    1,141.40x = 1,573.82 × 843.08
  4. Step 4: Simplify right side
    1,141.40x = 1,326,862.21
  5. Step 5: Solve for x
    x = 1,326,862.21/1,141.40
  6. Step 6: Final answer
    x = 1,162.48

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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.