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Finding the Fourth Proportional to 1,135.85, 1,567.41 and 716.27

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Solution

The fourth proportional to 1,135.85, 1,567.41 and 716.27 is: 988.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135.85 : 1,567.41 = 716.27 : x
  2. Step 2: Convert to fraction form
    1,135.85/1,567.41 = 716.27/x
  3. Step 3: Cross multiply
    1,135.85x = 1,567.41 × 716.27
  4. Step 4: Simplify right side
    1,135.85x = 1,122,688.76
  5. Step 5: Solve for x
    x = 1,122,688.76/1,135.85
  6. Step 6: Final answer
    x = 988.41

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1.5x scale

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.