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Finding the Fourth Proportional to 1,061.34, 1,591.48 and 444.86

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Solution

The fourth proportional to 1,061.34, 1,591.48 and 444.86 is: 667.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.34 : 1,591.48 = 444.86 : x
  2. Step 2: Convert to fraction form
    1,061.34/1,591.48 = 444.86/x
  3. Step 3: Cross multiply
    1,061.34x = 1,591.48 × 444.86
  4. Step 4: Simplify right side
    1,061.34x = 707,984.36
  5. Step 5: Solve for x
    x = 707,984.36/1,061.34
  6. Step 6: Final answer
    x = 667.07

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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.