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Finding the Fourth Proportional to 711.16, 981.57 and 462.05

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Solution

The fourth proportional to 711.16, 981.57 and 462.05 is: 637.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.16 : 981.57 = 462.05 : x
  2. Step 2: Convert to fraction form
    711.16/981.57 = 462.05/x
  3. Step 3: Cross multiply
    711.16x = 981.57 × 462.05
  4. Step 4: Simplify right side
    711.16x = 453,534.42
  5. Step 5: Solve for x
    x = 453,534.42/711.16
  6. Step 6: Final answer
    x = 637.74

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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.