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Finding the Fourth Proportional to 715.23, 986.58 and 567.81

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Solution

The fourth proportional to 715.23, 986.58 and 567.81 is: 783.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.23 : 986.58 = 567.81 : x
  2. Step 2: Convert to fraction form
    715.23/986.58 = 567.81/x
  3. Step 3: Cross multiply
    715.23x = 986.58 × 567.81
  4. Step 4: Simplify right side
    715.23x = 560,189.99
  5. Step 5: Solve for x
    x = 560,189.99/715.23
  6. Step 6: Final answer
    x = 783.23

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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.