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Finding the Fourth Proportional to 934.47, 1,401.64 and 471.96

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Solution

The fourth proportional to 934.47, 1,401.64 and 471.96 is: 707.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.47 : 1,401.64 = 471.96 : x
  2. Step 2: Convert to fraction form
    934.47/1,401.64 = 471.96/x
  3. Step 3: Cross multiply
    934.47x = 1,401.64 × 471.96
  4. Step 4: Simplify right side
    934.47x = 661,516.83
  5. Step 5: Solve for x
    x = 661,516.83/934.47
  6. Step 6: Final answer
    x = 707.91

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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.