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Finding the Fourth Proportional to 741.67, 1,023.63 and 502.29

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Solution

The fourth proportional to 741.67, 1,023.63 and 502.29 is: 693.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.67 : 1,023.63 = 502.29 : x
  2. Step 2: Convert to fraction form
    741.67/1,023.63 = 502.29/x
  3. Step 3: Cross multiply
    741.67x = 1,023.63 × 502.29
  4. Step 4: Simplify right side
    741.67x = 514,164.83
  5. Step 5: Solve for x
    x = 514,164.83/741.67
  6. Step 6: Final answer
    x = 693.25

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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.