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Finding the Fourth Proportional to 1,191.70, 1,784.51 and 948.70

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Solution

The fourth proportional to 1,191.70, 1,784.51 and 948.70 is: 1,420.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.70 : 1,784.51 = 948.70 : x
  2. Step 2: Convert to fraction form
    1,191.70/1,784.51 = 948.70/x
  3. Step 3: Cross multiply
    1,191.70x = 1,784.51 × 948.70
  4. Step 4: Simplify right side
    1,191.70x = 1,692,964.64
  5. Step 5: Solve for x
    x = 1,692,964.64/1,191.70
  6. Step 6: Final answer
    x = 1,420.63

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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.