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Finding the Fourth Proportional to 930.47, 1,395.96 and 467.69

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Solution

The fourth proportional to 930.47, 1,395.96 and 467.69 is: 701.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.47 : 1,395.96 = 467.69 : x
  2. Step 2: Convert to fraction form
    930.47/1,395.96 = 467.69/x
  3. Step 3: Cross multiply
    930.47x = 1,395.96 × 467.69
  4. Step 4: Simplify right side
    930.47x = 652,874.19
  5. Step 5: Solve for x
    x = 652,874.19/930.47
  6. Step 6: Final answer
    x = 701.66

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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.