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Finding the Fourth Proportional to 1,409.90, 2,114.98 and 436.28

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Solution

The fourth proportional to 1,409.90, 2,114.98 and 436.28 is: 654.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.90 : 2,114.98 = 436.28 : x
  2. Step 2: Convert to fraction form
    1,409.90/2,114.98 = 436.28/x
  3. Step 3: Cross multiply
    1,409.90x = 2,114.98 × 436.28
  4. Step 4: Simplify right side
    1,409.90x = 922,723.47
  5. Step 5: Solve for x
    x = 922,723.47/1,409.90
  6. Step 6: Final answer
    x = 654.46

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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.