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Finding the Fourth Proportional to 734.35, 1,013.16 and 472.51

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Solution

The fourth proportional to 734.35, 1,013.16 and 472.51 is: 651.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.35 : 1,013.16 = 472.51 : x
  2. Step 2: Convert to fraction form
    734.35/1,013.16 = 472.51/x
  3. Step 3: Cross multiply
    734.35x = 1,013.16 × 472.51
  4. Step 4: Simplify right side
    734.35x = 478,728.23
  5. Step 5: Solve for x
    x = 478,728.23/734.35
  6. Step 6: Final answer
    x = 651.91

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