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Finding the Fourth Proportional to 1,409.40, 2,113.68 and 484.80

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Solution

The fourth proportional to 1,409.40, 2,113.68 and 484.80 is: 727.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.40 : 2,113.68 = 484.80 : x
  2. Step 2: Convert to fraction form
    1,409.40/2,113.68 = 484.80/x
  3. Step 3: Cross multiply
    1,409.40x = 2,113.68 × 484.80
  4. Step 4: Simplify right side
    1,409.40x = 1,024,712.06
  5. Step 5: Solve for x
    x = 1,024,712.06/1,409.40
  6. Step 6: Final answer
    x = 727.06

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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.