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Finding the Fourth Proportional to 1,242.63, 1,711.69 and 947.39

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Solution

The fourth proportional to 1,242.63, 1,711.69 and 947.39 is: 1,305.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.63 : 1,711.69 = 947.39 : x
  2. Step 2: Convert to fraction form
    1,242.63/1,711.69 = 947.39/x
  3. Step 3: Cross multiply
    1,242.63x = 1,711.69 × 947.39
  4. Step 4: Simplify right side
    1,242.63x = 1,621,627.06
  5. Step 5: Solve for x
    x = 1,621,627.06/1,242.63
  6. Step 6: Final answer
    x = 1,305.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.