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Finding the Fourth Proportional to 1,016.93, 1,403.28 and 685.80

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Solution

The fourth proportional to 1,016.93, 1,403.28 and 685.80 is: 946.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.93 : 1,403.28 = 685.80 : x
  2. Step 2: Convert to fraction form
    1,016.93/1,403.28 = 685.80/x
  3. Step 3: Cross multiply
    1,016.93x = 1,403.28 × 685.80
  4. Step 4: Simplify right side
    1,016.93x = 962,369.42
  5. Step 5: Solve for x
    x = 962,369.42/1,016.93
  6. Step 6: Final answer
    x = 946.35

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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.