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Finding the Fourth Proportional to 730.77, 1,007.69 and 468.74

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Solution

The fourth proportional to 730.77, 1,007.69 and 468.74 is: 646.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.77 : 1,007.69 = 468.74 : x
  2. Step 2: Convert to fraction form
    730.77/1,007.69 = 468.74/x
  3. Step 3: Cross multiply
    730.77x = 1,007.69 × 468.74
  4. Step 4: Simplify right side
    730.77x = 472,337.23
  5. Step 5: Solve for x
    x = 472,337.23/730.77
  6. Step 6: Final answer
    x = 646.36

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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.