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Finding the Fourth Proportional to 710.56, 980.91 and 448.69

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Solution

The fourth proportional to 710.56, 980.91 and 448.69 is: 619.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.56 : 980.91 = 448.69 : x
  2. Step 2: Convert to fraction form
    710.56/980.91 = 448.69/x
  3. Step 3: Cross multiply
    710.56x = 980.91 × 448.69
  4. Step 4: Simplify right side
    710.56x = 440,124.51
  5. Step 5: Solve for x
    x = 440,124.51/710.56
  6. Step 6: Final answer
    x = 619.41

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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.