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Finding the Fourth Proportional to 711.19, 981.15 and 501.67

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Solution

The fourth proportional to 711.19, 981.15 and 501.67 is: 692.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.19 : 981.15 = 501.67 : x
  2. Step 2: Convert to fraction form
    711.19/981.15 = 501.67/x
  3. Step 3: Cross multiply
    711.19x = 981.15 × 501.67
  4. Step 4: Simplify right side
    711.19x = 492,213.52
  5. Step 5: Solve for x
    x = 492,213.52/711.19
  6. Step 6: Final answer
    x = 692.10

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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.