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Finding the Fourth Proportional to 934.37, 1,402.46 and 712.92

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Solution

The fourth proportional to 934.37, 1,402.46 and 712.92 is: 1,070.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.37 : 1,402.46 = 712.92 : x
  2. Step 2: Convert to fraction form
    934.37/1,402.46 = 712.92/x
  3. Step 3: Cross multiply
    934.37x = 1,402.46 × 712.92
  4. Step 4: Simplify right side
    934.37x = 999,847.07
  5. Step 5: Solve for x
    x = 999,847.07/934.37
  6. Step 6: Final answer
    x = 1,070.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.