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Finding the Fourth Proportional to 1,012.64, 1,518.84 and 319.28

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Solution

The fourth proportional to 1,012.64, 1,518.84 and 319.28 is: 478.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.64 : 1,518.84 = 319.28 : x
  2. Step 2: Convert to fraction form
    1,012.64/1,518.84 = 319.28/x
  3. Step 3: Cross multiply
    1,012.64x = 1,518.84 × 319.28
  4. Step 4: Simplify right side
    1,012.64x = 484,935.24
  5. Step 5: Solve for x
    x = 484,935.24/1,012.64
  6. Step 6: Final answer
    x = 478.88

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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.