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Finding the Fourth Proportional to 711.26, 981.60 and 400.76

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Solution

The fourth proportional to 711.26, 981.60 and 400.76 is: 553.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.26 : 981.60 = 400.76 : x
  2. Step 2: Convert to fraction form
    711.26/981.60 = 400.76/x
  3. Step 3: Cross multiply
    711.26x = 981.60 × 400.76
  4. Step 4: Simplify right side
    711.26x = 393,386.02
  5. Step 5: Solve for x
    x = 393,386.02/711.26
  6. Step 6: Final answer
    x = 553.08

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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.