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Finding the Fourth Proportional to 730.89, 1,007.69 and 468.81

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Solution

The fourth proportional to 730.89, 1,007.69 and 468.81 is: 646.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.89 : 1,007.69 = 468.81 : x
  2. Step 2: Convert to fraction form
    730.89/1,007.69 = 468.81/x
  3. Step 3: Cross multiply
    730.89x = 1,007.69 × 468.81
  4. Step 4: Simplify right side
    730.89x = 472,412.80
  5. Step 5: Solve for x
    x = 472,412.80/730.89
  6. Step 6: Final answer
    x = 646.35

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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.