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Finding the Fourth Proportional to 937.06, 1,405.91 and 417.42

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Solution

The fourth proportional to 937.06, 1,405.91 and 417.42 is: 626.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.06 : 1,405.91 = 417.42 : x
  2. Step 2: Convert to fraction form
    937.06/1,405.91 = 417.42/x
  3. Step 3: Cross multiply
    937.06x = 1,405.91 × 417.42
  4. Step 4: Simplify right side
    937.06x = 586,854.95
  5. Step 5: Solve for x
    x = 586,854.95/937.06
  6. Step 6: Final answer
    x = 626.27

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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.