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Finding the Fourth Proportional to 741.10, 1,111.65 and 416.46

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Solution

The fourth proportional to 741.10, 1,111.65 and 416.46 is: 624.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.10 : 1,111.65 = 416.46 : x
  2. Step 2: Convert to fraction form
    741.10/1,111.65 = 416.46/x
  3. Step 3: Cross multiply
    741.10x = 1,111.65 × 416.46
  4. Step 4: Simplify right side
    741.10x = 462,957.76
  5. Step 5: Solve for x
    x = 462,957.76/741.10
  6. Step 6: Final answer
    x = 624.69

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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.