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Finding the Fourth Proportional to 1,104.24, 1,655.40 and 526.80

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Solution

The fourth proportional to 1,104.24, 1,655.40 and 526.80 is: 789.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.24 : 1,655.40 = 526.80 : x
  2. Step 2: Convert to fraction form
    1,104.24/1,655.40 = 526.80/x
  3. Step 3: Cross multiply
    1,104.24x = 1,655.40 × 526.80
  4. Step 4: Simplify right side
    1,104.24x = 872,064.72
  5. Step 5: Solve for x
    x = 872,064.72/1,104.24
  6. Step 6: Final answer
    x = 789.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.