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Finding the Fourth Proportional to 937.53, 1,406.61 and 417.89

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Solution

The fourth proportional to 937.53, 1,406.61 and 417.89 is: 626.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.53 : 1,406.61 = 417.89 : x
  2. Step 2: Convert to fraction form
    937.53/1,406.61 = 417.89/x
  3. Step 3: Cross multiply
    937.53x = 1,406.61 × 417.89
  4. Step 4: Simplify right side
    937.53x = 587,808.25
  5. Step 5: Solve for x
    x = 587,808.25/937.53
  6. Step 6: Final answer
    x = 626.98

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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.