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Finding the Fourth Proportional to 1,514.74, 2,272.26 and 590.37

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Solution

The fourth proportional to 1,514.74, 2,272.26 and 590.37 is: 885.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514.74 : 2,272.26 = 590.37 : x
  2. Step 2: Convert to fraction form
    1,514.74/2,272.26 = 590.37/x
  3. Step 3: Cross multiply
    1,514.74x = 2,272.26 × 590.37
  4. Step 4: Simplify right side
    1,514.74x = 1,341,474.14
  5. Step 5: Solve for x
    x = 1,341,474.14/1,514.74
  6. Step 6: Final answer
    x = 885.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.