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Finding the Fourth Proportional to 741.30, 1,109.88 and 466.53

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Solution

The fourth proportional to 741.30, 1,109.88 and 466.53 is: 698.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.30 : 1,109.88 = 466.53 : x
  2. Step 2: Convert to fraction form
    741.30/1,109.88 = 466.53/x
  3. Step 3: Cross multiply
    741.30x = 1,109.88 × 466.53
  4. Step 4: Simplify right side
    741.30x = 517,792.32
  5. Step 5: Solve for x
    x = 517,792.32/741.30
  6. Step 6: Final answer
    x = 698.49

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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.