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Finding the Fourth Proportional to 749.77, 1,035.18 and 488.23

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Solution

The fourth proportional to 749.77, 1,035.18 and 488.23 is: 674.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.77 : 1,035.18 = 488.23 : x
  2. Step 2: Convert to fraction form
    749.77/1,035.18 = 488.23/x
  3. Step 3: Cross multiply
    749.77x = 1,035.18 × 488.23
  4. Step 4: Simplify right side
    749.77x = 505,405.93
  5. Step 5: Solve for x
    x = 505,405.93/749.77
  6. Step 6: Final answer
    x = 674.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.