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Finding the Fourth Proportional to 934.83, 1,403.87 and 646.47

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Solution

The fourth proportional to 934.83, 1,403.87 and 646.47 is: 970.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.83 : 1,403.87 = 646.47 : x
  2. Step 2: Convert to fraction form
    934.83/1,403.87 = 646.47/x
  3. Step 3: Cross multiply
    934.83x = 1,403.87 × 646.47
  4. Step 4: Simplify right side
    934.83x = 907,556.61
  5. Step 5: Solve for x
    x = 907,556.61/934.83
  6. Step 6: Final answer
    x = 970.83

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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.