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Finding the Fourth Proportional to 730.60, 1,008.12 and 533.50

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Solution

The fourth proportional to 730.60, 1,008.12 and 533.50 is: 736.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.60 : 1,008.12 = 533.50 : x
  2. Step 2: Convert to fraction form
    730.60/1,008.12 = 533.50/x
  3. Step 3: Cross multiply
    730.60x = 1,008.12 × 533.50
  4. Step 4: Simplify right side
    730.60x = 537,832.02
  5. Step 5: Solve for x
    x = 537,832.02/730.60
  6. Step 6: Final answer
    x = 736.15

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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.