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Finding the Fourth Proportional to 841.86, 1,262.93 and 286.47

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Solution

The fourth proportional to 841.86, 1,262.93 and 286.47 is: 429.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.86 : 1,262.93 = 286.47 : x
  2. Step 2: Convert to fraction form
    841.86/1,262.93 = 286.47/x
  3. Step 3: Cross multiply
    841.86x = 1,262.93 × 286.47
  4. Step 4: Simplify right side
    841.86x = 361,790.12
  5. Step 5: Solve for x
    x = 361,790.12/841.86
  6. Step 6: Final answer
    x = 429.75

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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.