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Finding the Fourth Proportional to 741.90, 1,022.67 and 508.62

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Solution

The fourth proportional to 741.90, 1,022.67 and 508.62 is: 701.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.90 : 1,022.67 = 508.62 : x
  2. Step 2: Convert to fraction form
    741.90/1,022.67 = 508.62/x
  3. Step 3: Cross multiply
    741.90x = 1,022.67 × 508.62
  4. Step 4: Simplify right side
    741.90x = 520,150.42
  5. Step 5: Solve for x
    x = 520,150.42/741.90
  6. Step 6: Final answer
    x = 701.11

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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.