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Finding the Fourth Proportional to 1,135.92, 1,567.51 and 716.14

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Solution

The fourth proportional to 1,135.92, 1,567.51 and 716.14 is: 988.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135.92 : 1,567.51 = 716.14 : x
  2. Step 2: Convert to fraction form
    1,135.92/1,567.51 = 716.14/x
  3. Step 3: Cross multiply
    1,135.92x = 1,567.51 × 716.14
  4. Step 4: Simplify right side
    1,135.92x = 1,122,556.61
  5. Step 5: Solve for x
    x = 1,122,556.61/1,135.92
  6. Step 6: Final answer
    x = 988.24

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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.