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Finding the Fourth Proportional to 1,009.58, 1,514.56 and 316.14

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Solution

The fourth proportional to 1,009.58, 1,514.56 and 316.14 is: 474.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.58 : 1,514.56 = 316.14 : x
  2. Step 2: Convert to fraction form
    1,009.58/1,514.56 = 316.14/x
  3. Step 3: Cross multiply
    1,009.58x = 1,514.56 × 316.14
  4. Step 4: Simplify right side
    1,009.58x = 478,813.00
  5. Step 5: Solve for x
    x = 478,813.00/1,009.58
  6. Step 6: Final answer
    x = 474.27

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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.