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Finding the Fourth Proportional to 1,246.98, 1,866.83 and 875.51

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Solution

The fourth proportional to 1,246.98, 1,866.83 and 875.51 is: 1,310.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246.98 : 1,866.83 = 875.51 : x
  2. Step 2: Convert to fraction form
    1,246.98/1,866.83 = 875.51/x
  3. Step 3: Cross multiply
    1,246.98x = 1,866.83 × 875.51
  4. Step 4: Simplify right side
    1,246.98x = 1,634,414.62
  5. Step 5: Solve for x
    x = 1,634,414.62/1,246.98
  6. Step 6: Final answer
    x = 1,310.70

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1.5x scale

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.