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Finding the Fourth Proportional to 749.90, 1,122.18 and 457.31

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Solution

The fourth proportional to 749.90, 1,122.18 and 457.31 is: 684.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.90 : 1,122.18 = 457.31 : x
  2. Step 2: Convert to fraction form
    749.90/1,122.18 = 457.31/x
  3. Step 3: Cross multiply
    749.90x = 1,122.18 × 457.31
  4. Step 4: Simplify right side
    749.90x = 513,184.14
  5. Step 5: Solve for x
    x = 513,184.14/749.90
  6. Step 6: Final answer
    x = 684.34

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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.