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Finding the Fourth Proportional to 875.74, 1,311.93 and 491.26

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Solution

The fourth proportional to 875.74, 1,311.93 and 491.26 is: 735.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.74 : 1,311.93 = 491.26 : x
  2. Step 2: Convert to fraction form
    875.74/1,311.93 = 491.26/x
  3. Step 3: Cross multiply
    875.74x = 1,311.93 × 491.26
  4. Step 4: Simplify right side
    875.74x = 644,498.73
  5. Step 5: Solve for x
    x = 644,498.73/875.74
  6. Step 6: Final answer
    x = 735.95

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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.