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Finding the Fourth Proportional to 1,200.40, 1,799.60 and 507.60

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Solution

The fourth proportional to 1,200.40, 1,799.60 and 507.60 is: 760.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.40 : 1,799.60 = 507.60 : x
  2. Step 2: Convert to fraction form
    1,200.40/1,799.60 = 507.60/x
  3. Step 3: Cross multiply
    1,200.40x = 1,799.60 × 507.60
  4. Step 4: Simplify right side
    1,200.40x = 913,476.96
  5. Step 5: Solve for x
    x = 913,476.96/1,200.40
  6. Step 6: Final answer
    x = 760.98

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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.