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Finding the Fourth Proportional to 820.90, 1,131.51 and 714.29

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Solution

The fourth proportional to 820.90, 1,131.51 and 714.29 is: 984.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.90 : 1,131.51 = 714.29 : x
  2. Step 2: Convert to fraction form
    820.90/1,131.51 = 714.29/x
  3. Step 3: Cross multiply
    820.90x = 1,131.51 × 714.29
  4. Step 4: Simplify right side
    820.90x = 808,226.28
  5. Step 5: Solve for x
    x = 808,226.28/820.90
  6. Step 6: Final answer
    x = 984.56

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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.