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Finding the Fourth Proportional to 740.62, 1,110.12 and 415.81

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Solution

The fourth proportional to 740.62, 1,110.12 and 415.81 is: 623.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.62 : 1,110.12 = 415.81 : x
  2. Step 2: Convert to fraction form
    740.62/1,110.12 = 415.81/x
  3. Step 3: Cross multiply
    740.62x = 1,110.12 × 415.81
  4. Step 4: Simplify right side
    740.62x = 461,599.00
  5. Step 5: Solve for x
    x = 461,599.00/740.62
  6. Step 6: Final answer
    x = 623.26

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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.