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Finding the Fourth Proportional to 1,009.22, 1,514.30 and 599.15

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Solution

The fourth proportional to 1,009.22, 1,514.30 and 599.15 is: 899.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.22 : 1,514.30 = 599.15 : x
  2. Step 2: Convert to fraction form
    1,009.22/1,514.30 = 599.15/x
  3. Step 3: Cross multiply
    1,009.22x = 1,514.30 × 599.15
  4. Step 4: Simplify right side
    1,009.22x = 907,293.63
  5. Step 5: Solve for x
    x = 907,293.63/1,009.22
  6. Step 6: Final answer
    x = 899.01

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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.