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Finding the Fourth Proportional to 730.18, 1,093.63 and 421.30

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Solution

The fourth proportional to 730.18, 1,093.63 and 421.30 is: 631.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.18 : 1,093.63 = 421.30 : x
  2. Step 2: Convert to fraction form
    730.18/1,093.63 = 421.30/x
  3. Step 3: Cross multiply
    730.18x = 1,093.63 × 421.30
  4. Step 4: Simplify right side
    730.18x = 460,746.32
  5. Step 5: Solve for x
    x = 460,746.32/730.18
  6. Step 6: Final answer
    x = 631.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.