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Finding the Fourth Proportional to 707.57, 1,063.77 and 649.94

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Solution

The fourth proportional to 707.57, 1,063.77 and 649.94 is: 977.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.57 : 1,063.77 = 649.94 : x
  2. Step 2: Convert to fraction form
    707.57/1,063.77 = 649.94/x
  3. Step 3: Cross multiply
    707.57x = 1,063.77 × 649.94
  4. Step 4: Simplify right side
    707.57x = 691,383.42
  5. Step 5: Solve for x
    x = 691,383.42/707.57
  6. Step 6: Final answer
    x = 977.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.