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Finding the Fourth Proportional to 734.80, 1,013.76 and 472.78

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Solution

The fourth proportional to 734.80, 1,013.76 and 472.78 is: 652.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.80 : 1,013.76 = 472.78 : x
  2. Step 2: Convert to fraction form
    734.80/1,013.76 = 472.78/x
  3. Step 3: Cross multiply
    734.80x = 1,013.76 × 472.78
  4. Step 4: Simplify right side
    734.80x = 479,285.45
  5. Step 5: Solve for x
    x = 479,285.45/734.80
  6. Step 6: Final answer
    x = 652.27

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1.5x scale

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.