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Finding the Fourth Proportional to 711.96, 981.90 and 580.74

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Solution

The fourth proportional to 711.96, 981.90 and 580.74 is: 800.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.96 : 981.90 = 580.74 : x
  2. Step 2: Convert to fraction form
    711.96/981.90 = 580.74/x
  3. Step 3: Cross multiply
    711.96x = 981.90 × 580.74
  4. Step 4: Simplify right side
    711.96x = 570,228.61
  5. Step 5: Solve for x
    x = 570,228.61/711.96
  6. Step 6: Final answer
    x = 800.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.