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Finding the Fourth Proportional to 1,423.27, 2,134.91 and 590.14

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Solution

The fourth proportional to 1,423.27, 2,134.91 and 590.14 is: 885.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.27 : 2,134.91 = 590.14 : x
  2. Step 2: Convert to fraction form
    1,423.27/2,134.91 = 590.14/x
  3. Step 3: Cross multiply
    1,423.27x = 2,134.91 × 590.14
  4. Step 4: Simplify right side
    1,423.27x = 1,259,887.50
  5. Step 5: Solve for x
    x = 1,259,887.50/1,423.27
  6. Step 6: Final answer
    x = 885.21

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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.