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Finding the Fourth Proportional to 741.34, 1,023.16 and 461.67

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Solution

The fourth proportional to 741.34, 1,023.16 and 461.67 is: 637.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.34 : 1,023.16 = 461.67 : x
  2. Step 2: Convert to fraction form
    741.34/1,023.16 = 461.67/x
  3. Step 3: Cross multiply
    741.34x = 1,023.16 × 461.67
  4. Step 4: Simplify right side
    741.34x = 472,359.45
  5. Step 5: Solve for x
    x = 472,359.45/741.34
  6. Step 6: Final answer
    x = 637.17

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1.5x scale

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.