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Finding the Fourth Proportional to 707.43, 977.16 and 543.65

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Solution

The fourth proportional to 707.43, 977.16 and 543.65 is: 750.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.43 : 977.16 = 543.65 : x
  2. Step 2: Convert to fraction form
    707.43/977.16 = 543.65/x
  3. Step 3: Cross multiply
    707.43x = 977.16 × 543.65
  4. Step 4: Simplify right side
    707.43x = 531,233.03
  5. Step 5: Solve for x
    x = 531,233.03/707.43
  6. Step 6: Final answer
    x = 750.93

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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.