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Finding the Fourth Proportional to 741.83, 1,023.19 and 472.57

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Solution

The fourth proportional to 741.83, 1,023.19 and 472.57 is: 651.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.83 : 1,023.19 = 472.57 : x
  2. Step 2: Convert to fraction form
    741.83/1,023.19 = 472.57/x
  3. Step 3: Cross multiply
    741.83x = 1,023.19 × 472.57
  4. Step 4: Simplify right side
    741.83x = 483,525.16
  5. Step 5: Solve for x
    x = 483,525.16/741.83
  6. Step 6: Final answer
    x = 651.80

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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.