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Finding the Fourth Proportional to 833.94, 1,147.86 and 692.51

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Solution

The fourth proportional to 833.94, 1,147.86 and 692.51 is: 953.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.94 : 1,147.86 = 692.51 : x
  2. Step 2: Convert to fraction form
    833.94/1,147.86 = 692.51/x
  3. Step 3: Cross multiply
    833.94x = 1,147.86 × 692.51
  4. Step 4: Simplify right side
    833.94x = 794,898.79
  5. Step 5: Solve for x
    x = 794,898.79/833.94
  6. Step 6: Final answer
    x = 953.18

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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.