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Finding the Fourth Proportional to 1,514.79, 2,272.32 and 590.41

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Solution

The fourth proportional to 1,514.79, 2,272.32 and 590.41 is: 885.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514.79 : 2,272.32 = 590.41 : x
  2. Step 2: Convert to fraction form
    1,514.79/2,272.32 = 590.41/x
  3. Step 3: Cross multiply
    1,514.79x = 2,272.32 × 590.41
  4. Step 4: Simplify right side
    1,514.79x = 1,341,600.45
  5. Step 5: Solve for x
    x = 1,341,600.45/1,514.79
  6. Step 6: Final answer
    x = 885.67

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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.