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Finding the Fourth Proportional to 749.64, 1,035.06 and 455.31

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Solution

The fourth proportional to 749.64, 1,035.06 and 455.31 is: 628.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.64 : 1,035.06 = 455.31 : x
  2. Step 2: Convert to fraction form
    749.64/1,035.06 = 455.31/x
  3. Step 3: Cross multiply
    749.64x = 1,035.06 × 455.31
  4. Step 4: Simplify right side
    749.64x = 471,273.17
  5. Step 5: Solve for x
    x = 471,273.17/749.64
  6. Step 6: Final answer
    x = 628.67

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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.