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Finding the Fourth Proportional to 1,205.33, 1,808.25 and 464.93

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Solution

The fourth proportional to 1,205.33, 1,808.25 and 464.93 is: 697.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.33 : 1,808.25 = 464.93 : x
  2. Step 2: Convert to fraction form
    1,205.33/1,808.25 = 464.93/x
  3. Step 3: Cross multiply
    1,205.33x = 1,808.25 × 464.93
  4. Step 4: Simplify right side
    1,205.33x = 840,700.63
  5. Step 5: Solve for x
    x = 840,700.63/1,205.33
  6. Step 6: Final answer
    x = 697.49

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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.