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Finding the Fourth Proportional to 841.80, 1,260.99 and 494.13

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Solution

The fourth proportional to 841.80, 1,260.99 and 494.13 is: 740.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.80 : 1,260.99 = 494.13 : x
  2. Step 2: Convert to fraction form
    841.80/1,260.99 = 494.13/x
  3. Step 3: Cross multiply
    841.80x = 1,260.99 × 494.13
  4. Step 4: Simplify right side
    841.80x = 623,092.99
  5. Step 5: Solve for x
    x = 623,092.99/841.80
  6. Step 6: Final answer
    x = 740.19

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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.