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Finding the Fourth Proportional to 1,015.69, 1,401.19 and 596.07

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Solution

The fourth proportional to 1,015.69, 1,401.19 and 596.07 is: 822.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.69 : 1,401.19 = 596.07 : x
  2. Step 2: Convert to fraction form
    1,015.69/1,401.19 = 596.07/x
  3. Step 3: Cross multiply
    1,015.69x = 1,401.19 × 596.07
  4. Step 4: Simplify right side
    1,015.69x = 835,207.32
  5. Step 5: Solve for x
    x = 835,207.32/1,015.69
  6. Step 6: Final answer
    x = 822.31

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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.