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Finding the Fourth Proportional to 1,242.83, 1,864.37 and 421.69

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Solution

The fourth proportional to 1,242.83, 1,864.37 and 421.69 is: 632.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.83 : 1,864.37 = 421.69 : x
  2. Step 2: Convert to fraction form
    1,242.83/1,864.37 = 421.69/x
  3. Step 3: Cross multiply
    1,242.83x = 1,864.37 × 421.69
  4. Step 4: Simplify right side
    1,242.83x = 786,182.58
  5. Step 5: Solve for x
    x = 786,182.58/1,242.83
  6. Step 6: Final answer
    x = 632.58

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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.