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Finding the Fourth Proportional to 715.32, 986.22 and 567.69

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Solution

The fourth proportional to 715.32, 986.22 and 567.69 is: 782.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.32 : 986.22 = 567.69 : x
  2. Step 2: Convert to fraction form
    715.32/986.22 = 567.69/x
  3. Step 3: Cross multiply
    715.32x = 986.22 × 567.69
  4. Step 4: Simplify right side
    715.32x = 559,867.23
  5. Step 5: Solve for x
    x = 559,867.23/715.32
  6. Step 6: Final answer
    x = 782.68

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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.