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Finding the Fourth Proportional to 715.07, 986.50 and 567.11

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Solution

The fourth proportional to 715.07, 986.50 and 567.11 is: 782.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.07 : 986.50 = 567.11 : x
  2. Step 2: Convert to fraction form
    715.07/986.50 = 567.11/x
  3. Step 3: Cross multiply
    715.07x = 986.50 × 567.11
  4. Step 4: Simplify right side
    715.07x = 559,454.02
  5. Step 5: Solve for x
    x = 559,454.02/715.07
  6. Step 6: Final answer
    x = 782.38

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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.