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Finding the Fourth Proportional to 959.67, 1,439.03 and 497.33

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Solution

The fourth proportional to 959.67, 1,439.03 and 497.33 is: 745.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.67 : 1,439.03 = 497.33 : x
  2. Step 2: Convert to fraction form
    959.67/1,439.03 = 497.33/x
  3. Step 3: Cross multiply
    959.67x = 1,439.03 × 497.33
  4. Step 4: Simplify right side
    959.67x = 715,672.79
  5. Step 5: Solve for x
    x = 715,672.79/959.67
  6. Step 6: Final answer
    x = 745.75

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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.