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Finding the Fourth Proportional to 1,246.30, 1,870.13 and 466.83

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Solution

The fourth proportional to 1,246.30, 1,870.13 and 466.83 is: 700.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246.30 : 1,870.13 = 466.83 : x
  2. Step 2: Convert to fraction form
    1,246.30/1,870.13 = 466.83/x
  3. Step 3: Cross multiply
    1,246.30x = 1,870.13 × 466.83
  4. Step 4: Simplify right side
    1,246.30x = 873,035.13
  5. Step 5: Solve for x
    x = 873,035.13/1,246.30
  6. Step 6: Final answer
    x = 700.50

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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.