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Finding the Fourth Proportional to 715.66, 988.24 and 692.42

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Solution

The fourth proportional to 715.66, 988.24 and 692.42 is: 956.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.66 : 988.24 = 692.42 : x
  2. Step 2: Convert to fraction form
    715.66/988.24 = 692.42/x
  3. Step 3: Cross multiply
    715.66x = 988.24 × 692.42
  4. Step 4: Simplify right side
    715.66x = 684,277.14
  5. Step 5: Solve for x
    x = 684,277.14/715.66
  6. Step 6: Final answer
    x = 956.15

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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.