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Finding the Fourth Proportional to 917.10, 1,374.84 and 484.56

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Solution

The fourth proportional to 917.10, 1,374.84 and 484.56 is: 726.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.10 : 1,374.84 = 484.56 : x
  2. Step 2: Convert to fraction form
    917.10/1,374.84 = 484.56/x
  3. Step 3: Cross multiply
    917.10x = 1,374.84 × 484.56
  4. Step 4: Simplify right side
    917.10x = 666,192.47
  5. Step 5: Solve for x
    x = 666,192.47/917.10
  6. Step 6: Final answer
    x = 726.41

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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.