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Finding the Fourth Proportional to 730.56, 1,007.74 and 468.56

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Solution

The fourth proportional to 730.56, 1,007.74 and 468.56 is: 646.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.56 : 1,007.74 = 468.56 : x
  2. Step 2: Convert to fraction form
    730.56/1,007.74 = 468.56/x
  3. Step 3: Cross multiply
    730.56x = 1,007.74 × 468.56
  4. Step 4: Simplify right side
    730.56x = 472,186.65
  5. Step 5: Solve for x
    x = 472,186.65/730.56
  6. Step 6: Final answer
    x = 646.34

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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.