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Finding the Fourth Proportional to 1,207.68, 1,811.42 and 477.06

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Solution

The fourth proportional to 1,207.68, 1,811.42 and 477.06 is: 715.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.68 : 1,811.42 = 477.06 : x
  2. Step 2: Convert to fraction form
    1,207.68/1,811.42 = 477.06/x
  3. Step 3: Cross multiply
    1,207.68x = 1,811.42 × 477.06
  4. Step 4: Simplify right side
    1,207.68x = 864,156.03
  5. Step 5: Solve for x
    x = 864,156.03/1,207.68
  6. Step 6: Final answer
    x = 715.55

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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.