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Finding the Fourth Proportional to 841.99, 1,262.64 and 496.02

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Solution

The fourth proportional to 841.99, 1,262.64 and 496.02 is: 743.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.99 : 1,262.64 = 496.02 : x
  2. Step 2: Convert to fraction form
    841.99/1,262.64 = 496.02/x
  3. Step 3: Cross multiply
    841.99x = 1,262.64 × 496.02
  4. Step 4: Simplify right side
    841.99x = 626,294.69
  5. Step 5: Solve for x
    x = 626,294.69/841.99
  6. Step 6: Final answer
    x = 743.83

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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.