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Finding the Fourth Proportional to 1,009.60, 1,514.12 and 306.88

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Solution

The fourth proportional to 1,009.60, 1,514.12 and 306.88 is: 460.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.60 : 1,514.12 = 306.88 : x
  2. Step 2: Convert to fraction form
    1,009.60/1,514.12 = 306.88/x
  3. Step 3: Cross multiply
    1,009.60x = 1,514.12 × 306.88
  4. Step 4: Simplify right side
    1,009.60x = 464,653.15
  5. Step 5: Solve for x
    x = 464,653.15/1,009.60
  6. Step 6: Final answer
    x = 460.23

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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.