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Finding the Fourth Proportional to 1,429.34, 2,143.86 and 456.08

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Solution

The fourth proportional to 1,429.34, 2,143.86 and 456.08 is: 684.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.34 : 2,143.86 = 456.08 : x
  2. Step 2: Convert to fraction form
    1,429.34/2,143.86 = 456.08/x
  3. Step 3: Cross multiply
    1,429.34x = 2,143.86 × 456.08
  4. Step 4: Simplify right side
    1,429.34x = 977,771.67
  5. Step 5: Solve for x
    x = 977,771.67/1,429.34
  6. Step 6: Final answer
    x = 684.07

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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.