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Finding the Fourth Proportional to 1,190.39, 1,785.08 and 410.18

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Solution

The fourth proportional to 1,190.39, 1,785.08 and 410.18 is: 615.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.39 : 1,785.08 = 410.18 : x
  2. Step 2: Convert to fraction form
    1,190.39/1,785.08 = 410.18/x
  3. Step 3: Cross multiply
    1,190.39x = 1,785.08 × 410.18
  4. Step 4: Simplify right side
    1,190.39x = 732,209.60
  5. Step 5: Solve for x
    x = 732,209.60/1,190.39
  6. Step 6: Final answer
    x = 615.10

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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.