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Finding the Fourth Proportional to 709.40, 978.80 and 488.82

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Solution

The fourth proportional to 709.40, 978.80 and 488.82 is: 674.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.40 : 978.80 = 488.82 : x
  2. Step 2: Convert to fraction form
    709.40/978.80 = 488.82/x
  3. Step 3: Cross multiply
    709.40x = 978.80 × 488.82
  4. Step 4: Simplify right side
    709.40x = 478,457.02
  5. Step 5: Solve for x
    x = 478,457.02/709.40
  6. Step 6: Final answer
    x = 674.45

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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.