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Finding the Fourth Proportional to 1,315.10, 1,814.85 and 725.62

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Solution

The fourth proportional to 1,315.10, 1,814.85 and 725.62 is: 1,001.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.10 : 1,814.85 = 725.62 : x
  2. Step 2: Convert to fraction form
    1,315.10/1,814.85 = 725.62/x
  3. Step 3: Cross multiply
    1,315.10x = 1,814.85 × 725.62
  4. Step 4: Simplify right side
    1,315.10x = 1,316,891.46
  5. Step 5: Solve for x
    x = 1,316,891.46/1,315.10
  6. Step 6: Final answer
    x = 1,001.36

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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.