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Finding the Fourth Proportional to 1,287.51, 1,931.27 and 421.83

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Solution

The fourth proportional to 1,287.51, 1,931.27 and 421.83 is: 632.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.51 : 1,931.27 = 421.83 : x
  2. Step 2: Convert to fraction form
    1,287.51/1,931.27 = 421.83/x
  3. Step 3: Cross multiply
    1,287.51x = 1,931.27 × 421.83
  4. Step 4: Simplify right side
    1,287.51x = 814,667.62
  5. Step 5: Solve for x
    x = 814,667.62/1,287.51
  6. Step 6: Final answer
    x = 632.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.