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Finding the Fourth Proportional to 1,314.91, 1,814.58 and 725.48

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Solution

The fourth proportional to 1,314.91, 1,814.58 and 725.48 is: 1,001.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.91 : 1,814.58 = 725.48 : x
  2. Step 2: Convert to fraction form
    1,314.91/1,814.58 = 725.48/x
  3. Step 3: Cross multiply
    1,314.91x = 1,814.58 × 725.48
  4. Step 4: Simplify right side
    1,314.91x = 1,316,441.50
  5. Step 5: Solve for x
    x = 1,316,441.50/1,314.91
  6. Step 6: Final answer
    x = 1,001.16

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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.