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Finding the Fourth Proportional to 937.45, 1,406.35 and 469.17

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Solution

The fourth proportional to 937.45, 1,406.35 and 469.17 is: 703.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.45 : 1,406.35 = 469.17 : x
  2. Step 2: Convert to fraction form
    937.45/1,406.35 = 469.17/x
  3. Step 3: Cross multiply
    937.45x = 1,406.35 × 469.17
  4. Step 4: Simplify right side
    937.45x = 659,816.06
  5. Step 5: Solve for x
    x = 659,816.06/937.45
  6. Step 6: Final answer
    x = 703.84

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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.