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Finding the Fourth Proportional to 947.49, 1,307.50 and 919.54

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Solution

The fourth proportional to 947.49, 1,307.50 and 919.54 is: 1,268.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.49 : 1,307.50 = 919.54 : x
  2. Step 2: Convert to fraction form
    947.49/1,307.50 = 919.54/x
  3. Step 3: Cross multiply
    947.49x = 1,307.50 × 919.54
  4. Step 4: Simplify right side
    947.49x = 1,202,298.55
  5. Step 5: Solve for x
    x = 1,202,298.55/947.49
  6. Step 6: Final answer
    x = 1,268.93

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1.5x scale

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.