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Finding the Fourth Proportional to 730.63, 1,008.72 and 521.23

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Solution

The fourth proportional to 730.63, 1,008.72 and 521.23 is: 719.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.63 : 1,008.72 = 521.23 : x
  2. Step 2: Convert to fraction form
    730.63/1,008.72 = 521.23/x
  3. Step 3: Cross multiply
    730.63x = 1,008.72 × 521.23
  4. Step 4: Simplify right side
    730.63x = 525,775.13
  5. Step 5: Solve for x
    x = 525,775.13/730.63
  6. Step 6: Final answer
    x = 719.62

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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.