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Finding the Fourth Proportional to 710.09, 979.64 and 488.75

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Solution

The fourth proportional to 710.09, 979.64 and 488.75 is: 674.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.09 : 979.64 = 488.75 : x
  2. Step 2: Convert to fraction form
    710.09/979.64 = 488.75/x
  3. Step 3: Cross multiply
    710.09x = 979.64 × 488.75
  4. Step 4: Simplify right side
    710.09x = 478,796.61
  5. Step 5: Solve for x
    x = 478,796.61/710.09
  6. Step 6: Final answer
    x = 674.28

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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.