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Finding the Fourth Proportional to 734.68, 1,013.44 and 472.40

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Solution

The fourth proportional to 734.68, 1,013.44 and 472.40 is: 651.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.68 : 1,013.44 = 472.40 : x
  2. Step 2: Convert to fraction form
    734.68/1,013.44 = 472.40/x
  3. Step 3: Cross multiply
    734.68x = 1,013.44 × 472.40
  4. Step 4: Simplify right side
    734.68x = 478,749.06
  5. Step 5: Solve for x
    x = 478,749.06/734.68
  6. Step 6: Final answer
    x = 651.64

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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.