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Finding the Fourth Proportional to 741.51, 1,111.10 and 412.16

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Solution

The fourth proportional to 741.51, 1,111.10 and 412.16 is: 617.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.51 : 1,111.10 = 412.16 : x
  2. Step 2: Convert to fraction form
    741.51/1,111.10 = 412.16/x
  3. Step 3: Cross multiply
    741.51x = 1,111.10 × 412.16
  4. Step 4: Simplify right side
    741.51x = 457,943.36
  5. Step 5: Solve for x
    x = 457,943.36/741.51
  6. Step 6: Final answer
    x = 617.58

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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.