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Finding the Fourth Proportional to 1,087.68, 1,500.66 and 621.84

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Solution

The fourth proportional to 1,087.68, 1,500.66 and 621.84 is: 857.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.68 : 1,500.66 = 621.84 : x
  2. Step 2: Convert to fraction form
    1,087.68/1,500.66 = 621.84/x
  3. Step 3: Cross multiply
    1,087.68x = 1,500.66 × 621.84
  4. Step 4: Simplify right side
    1,087.68x = 933,170.41
  5. Step 5: Solve for x
    x = 933,170.41/1,087.68
  6. Step 6: Final answer
    x = 857.95

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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.