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Finding the Fourth Proportional to 1,340.72, 2,010.59 and 463.00

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Solution

The fourth proportional to 1,340.72, 2,010.59 and 463.00 is: 694.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.72 : 2,010.59 = 463.00 : x
  2. Step 2: Convert to fraction form
    1,340.72/2,010.59 = 463.00/x
  3. Step 3: Cross multiply
    1,340.72x = 2,010.59 × 463.00
  4. Step 4: Simplify right side
    1,340.72x = 930,890.80
  5. Step 5: Solve for x
    x = 930,890.80/1,340.72
  6. Step 6: Final answer
    x = 694.32

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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.