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Finding the Fourth Proportional to 741.86, 1,023.72 and 462.08

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Solution

The fourth proportional to 741.86, 1,023.72 and 462.08 is: 637.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.86 : 1,023.72 = 462.08 : x
  2. Step 2: Convert to fraction form
    741.86/1,023.72 = 462.08/x
  3. Step 3: Cross multiply
    741.86x = 1,023.72 × 462.08
  4. Step 4: Simplify right side
    741.86x = 473,038.23
  5. Step 5: Solve for x
    x = 473,038.23/741.86
  6. Step 6: Final answer
    x = 637.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.