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Finding the Fourth Proportional to 1,157.40, 1,595.75 and 842.42

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Solution

The fourth proportional to 1,157.40, 1,595.75 and 842.42 is: 1,161.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.40 : 1,595.75 = 842.42 : x
  2. Step 2: Convert to fraction form
    1,157.40/1,595.75 = 842.42/x
  3. Step 3: Cross multiply
    1,157.40x = 1,595.75 × 842.42
  4. Step 4: Simplify right side
    1,157.40x = 1,344,291.72
  5. Step 5: Solve for x
    x = 1,344,291.72/1,157.40
  6. Step 6: Final answer
    x = 1,161.48

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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.