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Finding the Fourth Proportional to 1,016.69, 1,402.38 and 701.42

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Solution

The fourth proportional to 1,016.69, 1,402.38 and 701.42 is: 967.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.69 : 1,402.38 = 701.42 : x
  2. Step 2: Convert to fraction form
    1,016.69/1,402.38 = 701.42/x
  3. Step 3: Cross multiply
    1,016.69x = 1,402.38 × 701.42
  4. Step 4: Simplify right side
    1,016.69x = 983,650.37
  5. Step 5: Solve for x
    x = 983,650.37/1,016.69
  6. Step 6: Final answer
    x = 967.51

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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.