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Finding the Fourth Proportional to 1,190.66, 1,784.34 and 947.96

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Solution

The fourth proportional to 1,190.66, 1,784.34 and 947.96 is: 1,420.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.66 : 1,784.34 = 947.96 : x
  2. Step 2: Convert to fraction form
    1,190.66/1,784.34 = 947.96/x
  3. Step 3: Cross multiply
    1,190.66x = 1,784.34 × 947.96
  4. Step 4: Simplify right side
    1,190.66x = 1,691,482.95
  5. Step 5: Solve for x
    x = 1,691,482.95/1,190.66
  6. Step 6: Final answer
    x = 1,420.63

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Why These Related Problems?

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