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Finding the Fourth Proportional to 1,205.68, 1,808.16 and 436

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Solution

The fourth proportional to 1,205.68, 1,808.16 and 436 is: 653.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.68 : 1,808.16 = 436 : x
  2. Step 2: Convert to fraction form
    1,205.68/1,808.16 = 436/x
  3. Step 3: Cross multiply
    1,205.68x = 1,808.16 × 436
  4. Step 4: Simplify right side
    1,205.68x = 788,357.76
  5. Step 5: Solve for x
    x = 788,357.76/1,205.68
  6. Step 6: Final answer
    x = 653.87

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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.