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Finding the Fourth Proportional to 735.80, 1,015.14 and 473.78

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Solution

The fourth proportional to 735.80, 1,015.14 and 473.78 is: 653.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.80 : 1,015.14 = 473.78 : x
  2. Step 2: Convert to fraction form
    735.80/1,015.14 = 473.78/x
  3. Step 3: Cross multiply
    735.80x = 1,015.14 × 473.78
  4. Step 4: Simplify right side
    735.80x = 480,953.03
  5. Step 5: Solve for x
    x = 480,953.03/735.80
  6. Step 6: Final answer
    x = 653.65

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Double scale
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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.