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Finding the Fourth Proportional to 1,028.84, 1,418.10 and 766.76

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Solution

The fourth proportional to 1,028.84, 1,418.10 and 766.76 is: 1,056.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.84 : 1,418.10 = 766.76 : x
  2. Step 2: Convert to fraction form
    1,028.84/1,418.10 = 766.76/x
  3. Step 3: Cross multiply
    1,028.84x = 1,418.10 × 766.76
  4. Step 4: Simplify right side
    1,028.84x = 1,087,342.36
  5. Step 5: Solve for x
    x = 1,087,342.36/1,028.84
  6. Step 6: Final answer
    x = 1,056.86

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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.