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Finding the Fourth Proportional to 653.06, 979.70 and 471.83

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Solution

The fourth proportional to 653.06, 979.70 and 471.83 is: 707.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.06 : 979.70 = 471.83 : x
  2. Step 2: Convert to fraction form
    653.06/979.70 = 471.83/x
  3. Step 3: Cross multiply
    653.06x = 979.70 × 471.83
  4. Step 4: Simplify right side
    653.06x = 462,244.59
  5. Step 5: Solve for x
    x = 462,244.59/653.06
  6. Step 6: Final answer
    x = 707.81

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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.