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Finding the Fourth Proportional to 706.98, 975.30 and 471.04

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Solution

The fourth proportional to 706.98, 975.30 and 471.04 is: 649.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.98 : 975.30 = 471.04 : x
  2. Step 2: Convert to fraction form
    706.98/975.30 = 471.04/x
  3. Step 3: Cross multiply
    706.98x = 975.30 × 471.04
  4. Step 4: Simplify right side
    706.98x = 459,405.31
  5. Step 5: Solve for x
    x = 459,405.31/706.98
  6. Step 6: Final answer
    x = 649.81

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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.