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Finding the Fourth Proportional to 1,315.14, 1,814.88 and 725.70

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Solution

The fourth proportional to 1,315.14, 1,814.88 and 725.70 is: 1,001.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.14 : 1,814.88 = 725.70 : x
  2. Step 2: Convert to fraction form
    1,315.14/1,814.88 = 725.70/x
  3. Step 3: Cross multiply
    1,315.14x = 1,814.88 × 725.70
  4. Step 4: Simplify right side
    1,315.14x = 1,317,058.42
  5. Step 5: Solve for x
    x = 1,317,058.42/1,315.14
  6. Step 6: Final answer
    x = 1,001.46

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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.