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Finding the Fourth Proportional to 1,237.58, 1,707.42 and 1,016.48

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Solution

The fourth proportional to 1,237.58, 1,707.42 and 1,016.48 is: 1,402.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.58 : 1,707.42 = 1,016.48 : x
  2. Step 2: Convert to fraction form
    1,237.58/1,707.42 = 1,016.48/x
  3. Step 3: Cross multiply
    1,237.58x = 1,707.42 × 1,016.48
  4. Step 4: Simplify right side
    1,237.58x = 1,735,558.28
  5. Step 5: Solve for x
    x = 1,735,558.28/1,237.58
  6. Step 6: Final answer
    x = 1,402.38

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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.