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Finding the Fourth Proportional to 734.74, 1,013.93 and 472.76

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Solution

The fourth proportional to 734.74, 1,013.93 and 472.76 is: 652.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.74 : 1,013.93 = 472.76 : x
  2. Step 2: Convert to fraction form
    734.74/1,013.93 = 472.76/x
  3. Step 3: Cross multiply
    734.74x = 1,013.93 × 472.76
  4. Step 4: Simplify right side
    734.74x = 479,338.11
  5. Step 5: Solve for x
    x = 479,338.11/734.74
  6. Step 6: Final answer
    x = 652.39

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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.