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Finding the Fourth Proportional to 1,263.68, 1,895.52 and 494.24

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Solution

The fourth proportional to 1,263.68, 1,895.52 and 494.24 is: 741.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263.68 : 1,895.52 = 494.24 : x
  2. Step 2: Convert to fraction form
    1,263.68/1,895.52 = 494.24/x
  3. Step 3: Cross multiply
    1,263.68x = 1,895.52 × 494.24
  4. Step 4: Simplify right side
    1,263.68x = 936,841.80
  5. Step 5: Solve for x
    x = 936,841.80/1,263.68
  6. Step 6: Final answer
    x = 741.36

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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.