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Finding the Fourth Proportional to 1,049.94, 1,575.33 and 400.86

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Solution

The fourth proportional to 1,049.94, 1,575.33 and 400.86 is: 601.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.94 : 1,575.33 = 400.86 : x
  2. Step 2: Convert to fraction form
    1,049.94/1,575.33 = 400.86/x
  3. Step 3: Cross multiply
    1,049.94x = 1,575.33 × 400.86
  4. Step 4: Simplify right side
    1,049.94x = 631,486.78
  5. Step 5: Solve for x
    x = 631,486.78/1,049.94
  6. Step 6: Final answer
    x = 601.45

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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.