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Finding the Fourth Proportional to 1,316.18, 1,816.34 and 726.76

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Solution

The fourth proportional to 1,316.18, 1,816.34 and 726.76 is: 1,002.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.18 : 1,816.34 = 726.76 : x
  2. Step 2: Convert to fraction form
    1,316.18/1,816.34 = 726.76/x
  3. Step 3: Cross multiply
    1,316.18x = 1,816.34 × 726.76
  4. Step 4: Simplify right side
    1,316.18x = 1,320,043.26
  5. Step 5: Solve for x
    x = 1,320,043.26/1,316.18
  6. Step 6: Final answer
    x = 1,002.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.