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Finding the Fourth Proportional to 882.60, 1,323.90 and 493.80

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Solution

The fourth proportional to 882.60, 1,323.90 and 493.80 is: 740.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.60 : 1,323.90 = 493.80 : x
  2. Step 2: Convert to fraction form
    882.60/1,323.90 = 493.80/x
  3. Step 3: Cross multiply
    882.60x = 1,323.90 × 493.80
  4. Step 4: Simplify right side
    882.60x = 653,741.82
  5. Step 5: Solve for x
    x = 653,741.82/882.60
  6. Step 6: Final answer
    x = 740.70

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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.