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Finding the Fourth Proportional to 1,544.90, 2,316.63 and 723.56

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Solution

The fourth proportional to 1,544.90, 2,316.63 and 723.56 is: 1,085.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,544.90 : 2,316.63 = 723.56 : x
  2. Step 2: Convert to fraction form
    1,544.90/2,316.63 = 723.56/x
  3. Step 3: Cross multiply
    1,544.90x = 2,316.63 × 723.56
  4. Step 4: Simplify right side
    1,544.90x = 1,676,220.80
  5. Step 5: Solve for x
    x = 1,676,220.80/1,544.90
  6. Step 6: Final answer
    x = 1,085.00

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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.