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Finding the Fourth Proportional to 1,012.84, 1,519.78 and 464.95

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Solution

The fourth proportional to 1,012.84, 1,519.78 and 464.95 is: 697.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.84 : 1,519.78 = 464.95 : x
  2. Step 2: Convert to fraction form
    1,012.84/1,519.78 = 464.95/x
  3. Step 3: Cross multiply
    1,012.84x = 1,519.78 × 464.95
  4. Step 4: Simplify right side
    1,012.84x = 706,621.71
  5. Step 5: Solve for x
    x = 706,621.71/1,012.84
  6. Step 6: Final answer
    x = 697.66

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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.