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Finding the Fourth Proportional to 710.86, 981.47 and 445.41

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Solution

The fourth proportional to 710.86, 981.47 and 445.41 is: 614.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.86 : 981.47 = 445.41 : x
  2. Step 2: Convert to fraction form
    710.86/981.47 = 445.41/x
  3. Step 3: Cross multiply
    710.86x = 981.47 × 445.41
  4. Step 4: Simplify right side
    710.86x = 437,156.55
  5. Step 5: Solve for x
    x = 437,156.55/710.86
  6. Step 6: Final answer
    x = 614.97

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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.