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Finding the Fourth Proportional to 1,420.08, 2,129.63 and 542.83

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Solution

The fourth proportional to 1,420.08, 2,129.63 and 542.83 is: 814.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.08 : 2,129.63 = 542.83 : x
  2. Step 2: Convert to fraction form
    1,420.08/2,129.63 = 542.83/x
  3. Step 3: Cross multiply
    1,420.08x = 2,129.63 × 542.83
  4. Step 4: Simplify right side
    1,420.08x = 1,156,027.05
  5. Step 5: Solve for x
    x = 1,156,027.05/1,420.08
  6. Step 6: Final answer
    x = 814.06

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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.