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Finding the Fourth Proportional to 1,669.58, 2,504.16 and 436.92

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Solution

The fourth proportional to 1,669.58, 2,504.16 and 436.92 is: 655.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,669.58 : 2,504.16 = 436.92 : x
  2. Step 2: Convert to fraction form
    1,669.58/2,504.16 = 436.92/x
  3. Step 3: Cross multiply
    1,669.58x = 2,504.16 × 436.92
  4. Step 4: Simplify right side
    1,669.58x = 1,094,117.59
  5. Step 5: Solve for x
    x = 1,094,117.59/1,669.58
  6. Step 6: Final answer
    x = 655.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.