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Finding the Fourth Proportional to 1,008.48, 1,512.93 and 315.13

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Solution

The fourth proportional to 1,008.48, 1,512.93 and 315.13 is: 472.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.48 : 1,512.93 = 315.13 : x
  2. Step 2: Convert to fraction form
    1,008.48/1,512.93 = 315.13/x
  3. Step 3: Cross multiply
    1,008.48x = 1,512.93 × 315.13
  4. Step 4: Simplify right side
    1,008.48x = 476,769.63
  5. Step 5: Solve for x
    x = 476,769.63/1,008.48
  6. Step 6: Final answer
    x = 472.76

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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.