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Finding the Fourth Proportional to 713.48, 985.10 and 492.93

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Solution

The fourth proportional to 713.48, 985.10 and 492.93 is: 680.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.48 : 985.10 = 492.93 : x
  2. Step 2: Convert to fraction form
    713.48/985.10 = 492.93/x
  3. Step 3: Cross multiply
    713.48x = 985.10 × 492.93
  4. Step 4: Simplify right side
    713.48x = 485,582.88
  5. Step 5: Solve for x
    x = 485,582.88/713.48
  6. Step 6: Final answer
    x = 680.59

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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.