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Finding the Fourth Proportional to 1,314.93, 1,814.62 and 725.49

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Solution

The fourth proportional to 1,314.93, 1,814.62 and 725.49 is: 1,001.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.93 : 1,814.62 = 725.49 : x
  2. Step 2: Convert to fraction form
    1,314.93/1,814.62 = 725.49/x
  3. Step 3: Cross multiply
    1,314.93x = 1,814.62 × 725.49
  4. Step 4: Simplify right side
    1,314.93x = 1,316,488.66
  5. Step 5: Solve for x
    x = 1,316,488.66/1,314.93
  6. Step 6: Final answer
    x = 1,001.19

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1.5x scale

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.