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Finding the Fourth Proportional to 937.01, 1,405.62 and 416.99

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Solution

The fourth proportional to 937.01, 1,405.62 and 416.99 is: 625.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.01 : 1,405.62 = 416.99 : x
  2. Step 2: Convert to fraction form
    937.01/1,405.62 = 416.99/x
  3. Step 3: Cross multiply
    937.01x = 1,405.62 × 416.99
  4. Step 4: Simplify right side
    937.01x = 586,133.00
  5. Step 5: Solve for x
    x = 586,133.00/937.01
  6. Step 6: Final answer
    x = 625.53

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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.