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Finding the Fourth Proportional to 1,246.61, 1,870.40 and 516

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Solution

The fourth proportional to 1,246.61, 1,870.40 and 516 is: 774.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246.61 : 1,870.40 = 516 : x
  2. Step 2: Convert to fraction form
    1,246.61/1,870.40 = 516/x
  3. Step 3: Cross multiply
    1,246.61x = 1,870.40 × 516
  4. Step 4: Simplify right side
    1,246.61x = 965,123.82
  5. Step 5: Solve for x
    x = 965,123.82/1,246.61
  6. Step 6: Final answer
    x = 774.20

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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.