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Finding the Fourth Proportional to 1,314.93, 1,814.54 and 725.36

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Solution

The fourth proportional to 1,314.93, 1,814.54 and 725.36 is: 1,000.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.93 : 1,814.54 = 725.36 : x
  2. Step 2: Convert to fraction form
    1,314.93/1,814.54 = 725.36/x
  3. Step 3: Cross multiply
    1,314.93x = 1,814.54 × 725.36
  4. Step 4: Simplify right side
    1,314.93x = 1,316,182.03
  5. Step 5: Solve for x
    x = 1,316,182.03/1,314.93
  6. Step 6: Final answer
    x = 1,000.95

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Why These Related Problems?

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