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Finding the Fourth Proportional to 730.64, 1,007.70 and 468.68

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Solution

The fourth proportional to 730.64, 1,007.70 and 468.68 is: 646.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.64 : 1,007.70 = 468.68 : x
  2. Step 2: Convert to fraction form
    730.64/1,007.70 = 468.68/x
  3. Step 3: Cross multiply
    730.64x = 1,007.70 × 468.68
  4. Step 4: Simplify right side
    730.64x = 472,288.84
  5. Step 5: Solve for x
    x = 472,288.84/730.64
  6. Step 6: Final answer
    x = 646.40

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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.