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Finding the Fourth Proportional to 710.49, 981.24 and 633.20

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Solution

The fourth proportional to 710.49, 981.24 and 633.20 is: 874.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.49 : 981.24 = 633.20 : x
  2. Step 2: Convert to fraction form
    710.49/981.24 = 633.20/x
  3. Step 3: Cross multiply
    710.49x = 981.24 × 633.20
  4. Step 4: Simplify right side
    710.49x = 621,316.26
  5. Step 5: Solve for x
    x = 621,316.26/710.49
  6. Step 6: Final answer
    x = 874.49

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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.