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Finding the Fourth Proportional to 743.99, 1,116.36 and 497.36

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Solution

The fourth proportional to 743.99, 1,116.36 and 497.36 is: 746.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.99 : 1,116.36 = 497.36 : x
  2. Step 2: Convert to fraction form
    743.99/1,116.36 = 497.36/x
  3. Step 3: Cross multiply
    743.99x = 1,116.36 × 497.36
  4. Step 4: Simplify right side
    743.99x = 555,232.81
  5. Step 5: Solve for x
    x = 555,232.81/743.99
  6. Step 6: Final answer
    x = 746.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.