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Finding the Fourth Proportional to 1,029.84, 1,420.80 and 676.20

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Solution

The fourth proportional to 1,029.84, 1,420.80 and 676.20 is: 932.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.84 : 1,420.80 = 676.20 : x
  2. Step 2: Convert to fraction form
    1,029.84/1,420.80 = 676.20/x
  3. Step 3: Cross multiply
    1,029.84x = 1,420.80 × 676.20
  4. Step 4: Simplify right side
    1,029.84x = 960,744.96
  5. Step 5: Solve for x
    x = 960,744.96/1,029.84
  6. Step 6: Final answer
    x = 932.91

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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.