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Finding the Fourth Proportional to 941.10, 1,296.96 and 846.86

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Solution

The fourth proportional to 941.10, 1,296.96 and 846.86 is: 1,167.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.10 : 1,296.96 = 846.86 : x
  2. Step 2: Convert to fraction form
    941.10/1,296.96 = 846.86/x
  3. Step 3: Cross multiply
    941.10x = 1,296.96 × 846.86
  4. Step 4: Simplify right side
    941.10x = 1,098,343.55
  5. Step 5: Solve for x
    x = 1,098,343.55/941.10
  6. Step 6: Final answer
    x = 1,167.08

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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.