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Finding the Fourth Proportional to 1,409.14, 2,113.64 and 435.23

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Solution

The fourth proportional to 1,409.14, 2,113.64 and 435.23 is: 652.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.14 : 2,113.64 = 435.23 : x
  2. Step 2: Convert to fraction form
    1,409.14/2,113.64 = 435.23/x
  3. Step 3: Cross multiply
    1,409.14x = 2,113.64 × 435.23
  4. Step 4: Simplify right side
    1,409.14x = 919,919.54
  5. Step 5: Solve for x
    x = 919,919.54/1,409.14
  6. Step 6: Final answer
    x = 652.83

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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.