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Finding the Fourth Proportional to 741.08, 1,111.58 and 463.52

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Solution

The fourth proportional to 741.08, 1,111.58 and 463.52 is: 695.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.08 : 1,111.58 = 463.52 : x
  2. Step 2: Convert to fraction form
    741.08/1,111.58 = 463.52/x
  3. Step 3: Cross multiply
    741.08x = 1,111.58 × 463.52
  4. Step 4: Simplify right side
    741.08x = 515,239.56
  5. Step 5: Solve for x
    x = 515,239.56/741.08
  6. Step 6: Final answer
    x = 695.25

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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.