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Finding the Fourth Proportional to 1,191.30, 1,785.15 and 1,007.70

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Solution

The fourth proportional to 1,191.30, 1,785.15 and 1,007.70 is: 1,510.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.30 : 1,785.15 = 1,007.70 : x
  2. Step 2: Convert to fraction form
    1,191.30/1,785.15 = 1,007.70/x
  3. Step 3: Cross multiply
    1,191.30x = 1,785.15 × 1,007.70
  4. Step 4: Simplify right side
    1,191.30x = 1,798,895.66
  5. Step 5: Solve for x
    x = 1,798,895.66/1,191.30
  6. Step 6: Final answer
    x = 1,510.03

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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.