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Finding the Fourth Proportional to 741.66, 1,023.65 and 506.17

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Solution

The fourth proportional to 741.66, 1,023.65 and 506.17 is: 698.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.66 : 1,023.65 = 506.17 : x
  2. Step 2: Convert to fraction form
    741.66/1,023.65 = 506.17/x
  3. Step 3: Cross multiply
    741.66x = 1,023.65 × 506.17
  4. Step 4: Simplify right side
    741.66x = 518,140.92
  5. Step 5: Solve for x
    x = 518,140.92/741.66
  6. Step 6: Final answer
    x = 698.62

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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.