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Finding the Fourth Proportional to 1,009.33, 1,514.26 and 856.34

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Solution

The fourth proportional to 1,009.33, 1,514.26 and 856.34 is: 1,284.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.33 : 1,514.26 = 856.34 : x
  2. Step 2: Convert to fraction form
    1,009.33/1,514.26 = 856.34/x
  3. Step 3: Cross multiply
    1,009.33x = 1,514.26 × 856.34
  4. Step 4: Simplify right side
    1,009.33x = 1,296,720.59
  5. Step 5: Solve for x
    x = 1,296,720.59/1,009.33
  6. Step 6: Final answer
    x = 1,284.74

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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.