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Finding the Fourth Proportional to 1,409.10, 2,113.71 and 435.21

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Solution

The fourth proportional to 1,409.10, 2,113.71 and 435.21 is: 652.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.10 : 2,113.71 = 435.21 : x
  2. Step 2: Convert to fraction form
    1,409.10/2,113.71 = 435.21/x
  3. Step 3: Cross multiply
    1,409.10x = 2,113.71 × 435.21
  4. Step 4: Simplify right side
    1,409.10x = 919,907.73
  5. Step 5: Solve for x
    x = 919,907.73/1,409.10
  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.