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Finding the Fourth Proportional to 937.65, 1,406.73 and 410.60

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Solution

The fourth proportional to 937.65, 1,406.73 and 410.60 is: 616.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.65 : 1,406.73 = 410.60 : x
  2. Step 2: Convert to fraction form
    937.65/1,406.73 = 410.60/x
  3. Step 3: Cross multiply
    937.65x = 1,406.73 × 410.60
  4. Step 4: Simplify right side
    937.65x = 577,603.34
  5. Step 5: Solve for x
    x = 577,603.34/937.65
  6. Step 6: Final answer
    x = 616.01

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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.