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Finding the Fourth Proportional to 735.15, 1,013.25 and 594.75

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Solution

The fourth proportional to 735.15, 1,013.25 and 594.75 is: 819.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.15 : 1,013.25 = 594.75 : x
  2. Step 2: Convert to fraction form
    735.15/1,013.25 = 594.75/x
  3. Step 3: Cross multiply
    735.15x = 1,013.25 × 594.75
  4. Step 4: Simplify right side
    735.15x = 602,630.44
  5. Step 5: Solve for x
    x = 602,630.44/735.15
  6. Step 6: Final answer
    x = 819.74

Related Problems

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Half scale
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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.