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Finding the Fourth Proportional to 740.63, 1,110.96 and 466.35

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Solution

The fourth proportional to 740.63, 1,110.96 and 466.35 is: 699.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.63 : 1,110.96 = 466.35 : x
  2. Step 2: Convert to fraction form
    740.63/1,110.96 = 466.35/x
  3. Step 3: Cross multiply
    740.63x = 1,110.96 × 466.35
  4. Step 4: Simplify right side
    740.63x = 518,096.20
  5. Step 5: Solve for x
    x = 518,096.20/740.63
  6. Step 6: Final answer
    x = 699.53

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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.