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Finding the Fourth Proportional to 1,008.66, 1,513.31 and 315.41

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Solution

The fourth proportional to 1,008.66, 1,513.31 and 315.41 is: 473.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.66 : 1,513.31 = 315.41 : x
  2. Step 2: Convert to fraction form
    1,008.66/1,513.31 = 315.41/x
  3. Step 3: Cross multiply
    1,008.66x = 1,513.31 × 315.41
  4. Step 4: Simplify right side
    1,008.66x = 477,303.96
  5. Step 5: Solve for x
    x = 477,303.96/1,008.66
  6. Step 6: Final answer
    x = 473.20

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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.