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Finding the Fourth Proportional to 709.09, 978.89 and 473.18

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Solution

The fourth proportional to 709.09, 978.89 and 473.18 is: 653.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.09 : 978.89 = 473.18 : x
  2. Step 2: Convert to fraction form
    709.09/978.89 = 473.18/x
  3. Step 3: Cross multiply
    709.09x = 978.89 × 473.18
  4. Step 4: Simplify right side
    709.09x = 463,183.91
  5. Step 5: Solve for x
    x = 463,183.91/709.09
  6. Step 6: Final answer
    x = 653.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.