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Finding the Fourth Proportional to 934.93, 1,402.80 and 523.45

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Solution

The fourth proportional to 934.93, 1,402.80 and 523.45 is: 785.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.93 : 1,402.80 = 523.45 : x
  2. Step 2: Convert to fraction form
    934.93/1,402.80 = 523.45/x
  3. Step 3: Cross multiply
    934.93x = 1,402.80 × 523.45
  4. Step 4: Simplify right side
    934.93x = 734,295.66
  5. Step 5: Solve for x
    x = 734,295.66/934.93
  6. Step 6: Final answer
    x = 785.40

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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.