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Finding the Fourth Proportional to 1,009.69, 1,514.70 and 316.22

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Solution

The fourth proportional to 1,009.69, 1,514.70 and 316.22 is: 474.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.69 : 1,514.70 = 316.22 : x
  2. Step 2: Convert to fraction form
    1,009.69/1,514.70 = 316.22/x
  3. Step 3: Cross multiply
    1,009.69x = 1,514.70 × 316.22
  4. Step 4: Simplify right side
    1,009.69x = 478,978.43
  5. Step 5: Solve for x
    x = 478,978.43/1,009.69
  6. Step 6: Final answer
    x = 474.38

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