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Finding the Fourth Proportional to 941.78, 1,298.75 and 849.51

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Solution

The fourth proportional to 941.78, 1,298.75 and 849.51 is: 1,171.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.78 : 1,298.75 = 849.51 : x
  2. Step 2: Convert to fraction form
    941.78/1,298.75 = 849.51/x
  3. Step 3: Cross multiply
    941.78x = 1,298.75 × 849.51
  4. Step 4: Simplify right side
    941.78x = 1,103,296.86
  5. Step 5: Solve for x
    x = 1,103,296.86/941.78
  6. Step 6: Final answer
    x = 1,171.51

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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.