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Finding the Fourth Proportional to 725.12, 1,001.06 and 555.69

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Solution

The fourth proportional to 725.12, 1,001.06 and 555.69 is: 767.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.12 : 1,001.06 = 555.69 : x
  2. Step 2: Convert to fraction form
    725.12/1,001.06 = 555.69/x
  3. Step 3: Cross multiply
    725.12x = 1,001.06 × 555.69
  4. Step 4: Simplify right side
    725.12x = 556,282.09
  5. Step 5: Solve for x
    x = 556,282.09/725.12
  6. Step 6: Final answer
    x = 767.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.