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Finding the Fourth Proportional to 741.63, 1,111.13 and 632.31

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Solution

The fourth proportional to 741.63, 1,111.13 and 632.31 is: 947.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.63 : 1,111.13 = 632.31 : x
  2. Step 2: Convert to fraction form
    741.63/1,111.13 = 632.31/x
  3. Step 3: Cross multiply
    741.63x = 1,111.13 × 632.31
  4. Step 4: Simplify right side
    741.63x = 702,575.45
  5. Step 5: Solve for x
    x = 702,575.45/741.63
  6. Step 6: Final answer
    x = 947.34

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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.