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Finding the Fourth Proportional to 709.55, 979.04 and 473.84

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Solution

The fourth proportional to 709.55, 979.04 and 473.84 is: 653.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.55 : 979.04 = 473.84 : x
  2. Step 2: Convert to fraction form
    709.55/979.04 = 473.84/x
  3. Step 3: Cross multiply
    709.55x = 979.04 × 473.84
  4. Step 4: Simplify right side
    709.55x = 463,901.05
  5. Step 5: Solve for x
    x = 463,901.05/709.55
  6. Step 6: Final answer
    x = 653.80

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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.