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Finding the Fourth Proportional to 741.65, 1,023.45 and 446.95

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Solution

The fourth proportional to 741.65, 1,023.45 and 446.95 is: 616.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.65 : 1,023.45 = 446.95 : x
  2. Step 2: Convert to fraction form
    741.65/1,023.45 = 446.95/x
  3. Step 3: Cross multiply
    741.65x = 1,023.45 × 446.95
  4. Step 4: Simplify right side
    741.65x = 457,430.98
  5. Step 5: Solve for x
    x = 457,430.98/741.65
  6. Step 6: Final answer
    x = 616.77

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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.