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Finding the Fourth Proportional to 1,246.40, 1,870.74 and 630.52

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Solution

The fourth proportional to 1,246.40, 1,870.74 and 630.52 is: 946.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246.40 : 1,870.74 = 630.52 : x
  2. Step 2: Convert to fraction form
    1,246.40/1,870.74 = 630.52/x
  3. Step 3: Cross multiply
    1,246.40x = 1,870.74 × 630.52
  4. Step 4: Simplify right side
    1,246.40x = 1,179,538.98
  5. Step 5: Solve for x
    x = 1,179,538.98/1,246.40
  6. Step 6: Final answer
    x = 946.36

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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.