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Finding the Fourth Proportional to 951.16, 1,417.82 and 846.51

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Solution

The fourth proportional to 951.16, 1,417.82 and 846.51 is: 1,261.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.16 : 1,417.82 = 846.51 : x
  2. Step 2: Convert to fraction form
    951.16/1,417.82 = 846.51/x
  3. Step 3: Cross multiply
    951.16x = 1,417.82 × 846.51
  4. Step 4: Simplify right side
    951.16x = 1,200,198.81
  5. Step 5: Solve for x
    x = 1,200,198.81/951.16
  6. Step 6: Final answer
    x = 1,261.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.