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Finding the Fourth Proportional to 1,246.79, 1,870.59 and 629.98

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Solution

The fourth proportional to 1,246.79, 1,870.59 and 629.98 is: 945.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246.79 : 1,870.59 = 629.98 : x
  2. Step 2: Convert to fraction form
    1,246.79/1,870.59 = 629.98/x
  3. Step 3: Cross multiply
    1,246.79x = 1,870.59 × 629.98
  4. Step 4: Simplify right side
    1,246.79x = 1,178,434.29
  5. Step 5: Solve for x
    x = 1,178,434.29/1,246.79
  6. Step 6: Final answer
    x = 945.17

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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.