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Finding the Fourth Proportional to 730.20, 1,007.34 and 564.10

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Solution

The fourth proportional to 730.20, 1,007.34 and 564.10 is: 778.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.20 : 1,007.34 = 564.10 : x
  2. Step 2: Convert to fraction form
    730.20/1,007.34 = 564.10/x
  3. Step 3: Cross multiply
    730.20x = 1,007.34 × 564.10
  4. Step 4: Simplify right side
    730.20x = 568,240.49
  5. Step 5: Solve for x
    x = 568,240.49/730.20
  6. Step 6: Final answer
    x = 778.20

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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.