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Finding the Fourth Proportional to 1,248.98, 1,873.23 and 416.05

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Solution

The fourth proportional to 1,248.98, 1,873.23 and 416.05 is: 624.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,248.98 : 1,873.23 = 416.05 : x
  2. Step 2: Convert to fraction form
    1,248.98/1,873.23 = 416.05/x
  3. Step 3: Cross multiply
    1,248.98x = 1,873.23 × 416.05
  4. Step 4: Simplify right side
    1,248.98x = 779,357.34
  5. Step 5: Solve for x
    x = 779,357.34/1,248.98
  6. Step 6: Final answer
    x = 624.00

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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.